80 results on '"Harold Erbin"'
Search Results
52. Background Independence
- Author
-
Harold Erbin
- Published
- 2020
53. Amplitude Factorization and Feynman Diagrams
- Author
-
Harold Erbin
- Subjects
Physics ,symbols.namesake ,Amplitude ,Factorization ,symbols ,Feynman diagram ,Fundamental interaction ,Action (physics) ,Mathematical physics - Abstract
In the previous chapter, we built the off-shell amplitudes by integrating forms on sections of \(\mathcal P_{g,n}\). Studying their factorizations leads to rewrite them in terms of Feynman diagrams, which allows to identify the fundamental interactions’ vertices. We will then be able to write the SFT action in the next chapter.
- Published
- 2020
54. Momentum-Space SFT
- Author
-
Harold Erbin
- Subjects
Physics ,Theoretical physics ,Unitarity ,Wick rotation ,Crossing ,Position and momentum space ,String theory ,Signature (topology) - Abstract
In this chapter, we describe the general properties of SFT actions in the momentum space. This allows to make SFT more intuitive, but also to use standard QFT methods to prove various properties of string theory. We explain how the Wick rotation is generalized for theories with vertices diverging at infinite real energies (Lorentzian signature). This allows to prove important properties of string theory, such as unitarity or crossing symmetry.
- Published
- 2020
55. Topological defects and confinement with machine learning: The case of monopoles in compact electrodynamics
- Author
-
Vladimir Alexandrovich Goy, M. N. Chernodub, Alexander Molochkov, Harold Erbin, Institut Denis Poisson (IDP), Centre National de la Recherche Scientifique (CNRS)-Université de Tours (UT)-Université d'Orléans (UO), Pacific Quantum Center [Vladivostok], Far Eastern Federal University (FEFU), Dipartimento di Fisica [Torino], Università degli studi di Torino (UNITO), Russian Foundation for Basic Research No. 18-02-40121 mega., Carl Friedrich von Siemens Research Fellowship of the Alexander von Humboldt Foundation during most of this project., and Centre National de la Recherche Scientifique (CNRS)-Université de Tours-Université d'Orléans (UO)
- Subjects
High Energy Physics - Theory ,FOS: Computer and information sciences ,Computer Science - Machine Learning ,High Energy Physics::Lattice ,Magnetic monopole ,FOS: Physical sciences ,Machine learning ,computer.software_genre ,01 natural sciences ,Deconfinement ,Topological defect ,Machine Learning (cs.LG) ,High Energy Physics - Lattice ,[INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG] ,0103 physical sciences ,Gauge theory ,Quantum field theory ,010306 general physics ,Physics ,Artificial neural network ,010308 nuclear & particles physics ,business.industry ,[PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat] ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,High Energy Physics - Lattice (hep-lat) ,Observable ,High Energy Physics - Theory (hep-th) ,Artificial intelligence ,business ,computer ,Mass gap - Abstract
We investigate the advantages of machine learning techniques to recognize the dynamics of topological objects in quantum field theories. We consider the compact U(1) gauge theory in three spacetime dimensions as the simplest example of a theory that exhibits confinement and mass gap phenomena generated by monopoles. We train a neural network with a generated set of monopole configurations to distinguish between confinement and deconfinement phases, from which it is possible to determine the deconfinement transition point and to predict several observables. The model uses a supervised learning approach and treats the monopole configurations as three-dimensional images (holograms). We show that the model can determine the transition temperature with accuracy, which depends on the criteria implemented in the algorithm. More importantly, we train the neural network with configurations from a single lattice size before making predictions for configurations from other lattice sizes, from which a reliable estimation of the critical temperatures are obtained., Comment: 15 pages, 36 figures; minor revisions, published version
- Published
- 2020
56. Casimir effect with machine learning
- Author
-
Alexander Molochkov, M. N. Chernodub, I. V. Grishmanovskii, Harold Erbin, Vladimir Alexandrovich Goy, Institut Denis Poisson (IDP), Centre National de la Recherche Scientifique (CNRS)-Université de Tours-Université d'Orléans (UO), Pacific Quantum Center [Vladivostok], Far Eastern Federal University (FEFU), Dipartimento di Fisica [Torino], Università degli studi di Torino (UNITO), and Centre National de la Recherche Scientifique (CNRS)-Université de Tours (UT)-Université d'Orléans (UO)
- Subjects
FOS: Computer and information sciences ,High Energy Physics - Theory ,Computer Science - Machine Learning ,Scalar field theory ,FOS: Physical sciences ,01 natural sciences ,Domain (mathematical analysis) ,Dirichlet distribution ,Machine Learning (cs.LG) ,symbols.namesake ,High Energy Physics - Lattice ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,0103 physical sciences ,010306 general physics ,Quantum ,Quantum fluctuation ,Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Artificial neural network ,010308 nuclear & particles physics ,High Energy Physics - Lattice (hep-lat) ,Mathematical analysis ,Casimir effect ,High Energy Physics - Theory (hep-th) ,[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] ,symbols ,[PHYS.COND.CM-SCE]Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el] ,Energy (signal processing) - Abstract
Vacuum fluctuations of quantum fields between physical objects depend on the shapes, positions, and internal composition of the latter. For objects of arbitrary shapes, even made from idealized materials, the calculation of the associated zero-point (Casimir) energy is an analytically intractable challenge. We propose a new numerical approach to this problem based on machine-learning techniques and illustrate the effectiveness of the method in a (2+1) dimensional scalar field theory. The Casimir energy is first calculated numerically using a Monte-Carlo algorithm for a set of the Dirichlet boundaries of various shapes. Then, a neural network is trained to compute this energy given the Dirichlet domain, treating the latter as black-and-white pixelated images. We show that after the learning phase, the neural network is able to quickly predict the Casimir energy for new boundaries of general shapes with reasonable accuracy., 7 pages, 4 figures; minor changes, published version
- Published
- 2020
57. Classical algebraic structures in string theory effective actions
- Author
-
Martin Schnabl, Carlo Maccaferri, Jakub Vošmera, and Harold Erbin
- Subjects
Physics ,High Energy Physics - Theory ,Nuclear and High Energy Physics ,010308 nuclear & particles physics ,Generic property ,Algebraic structure ,Homotopy ,FOS: Physical sciences ,String field theory ,String theory ,01 natural sciences ,Theoretical physics ,High Energy Physics::Theory ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,Effective field theory ,String background ,Microscopic theory ,010306 general physics - Abstract
We study generic properties of string theory effective actions obtained by classically integrating out massive excitations from string field theories based on cyclic homotopy algebras of $A_\infty$ or $L_\infty$ type. We construct observables in the UV theory and we discuss their fate after integration-out. Furthermore, we discuss how to compose two subsequent integrations of degrees of freedom (horizontal composition) and how to integrate out degrees of freedom after deforming the UV theory with a new consistent interaction (vertical decomposition). We then apply our general results to the open bosonic string using Witten's open string field theory. There we show how the horizontal composition can be used to systematically integrate out the Nakanishi-Lautrup field from the set of massless excitations, ending with a non-abelian $A_\infty$-gauge theory for just the open string gluon. Moreover we show how the vertical decomposition can be used to construct effective open-closed couplings by deforming Witten OSFT with a tadpole given by the Ellwood invariant. Also, we discuss how the effective theory controls the possibility of removing the tadpole in the microscopic theory, giving a new framework for studying D-branes deformations induced by changes in the closed string background., 85 pages
- Published
- 2020
58. A short note on dynamics and degrees of freedom in $2d$ classical gravity
- Author
-
Corinne de Lacroix, Harold Erbin, Laboratoire de Physique Théorique de l'ENS (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
High Energy Physics - Theory ,Physics and Astronomy (miscellaneous) ,invariance: Weyl ,2d gravity ,Computation ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,01 natural sciences ,General Relativity and Quantum Cosmology ,Classical gravity ,Theoretical physics ,matter: coupling ,0103 physical sciences ,Field theory on curved space ,unitarity ,gravitation: coupling ,010303 astronomy & astrophysics ,Physics ,Toy model ,Unitarity ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,gravitation: Einstein-Hilbert ,matter: conformal ,Equations of motion ,Invariant (physics) ,Standard methods ,Degrees of freedom ,Differential geometry ,High Energy Physics - Theory (hep-th) ,field equations: solution ,[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] ,gravitation: classical - Abstract
We comment on some peculiarities of matter with and without Weyl invariance coupled to classical $2d$ Einstein-Hilbert gravity for several models, in particular, related to the counting of degrees of freedom and on the dynamics. We find that theories where the matter action is Weyl invariant has generically more degrees of freedom than action without the invariance. This follows from the Weyl invariance of the metric equations of motion independently of the invariance of the action. Then, we study another set of models with scalar fields and show that solutions to the equations of motion are either trivial or inconsistent. To our knowledge, these aspects of classical $2d$ gravity have not been put forward and can be interesting to be remembered when using it as a toy model for $4d$ gravity. The goal of this note is also as a pedagogical exercise: our results follow from standard methods, but we emphasize more direct computations., Comment: 10 pages; v2: 13 pages, add clarifications
- Published
- 2020
59. Two-point string amplitudes
- Author
-
Dimitri Skliros, Juan Maldacena, and Harold Erbin
- Subjects
Physics ,High Energy Physics - Theory ,Nuclear and High Energy Physics ,Free particle ,010308 nuclear & particles physics ,Bosonic Strings ,FOS: Physical sciences ,Expression (computer science) ,Space (mathematics) ,String theory ,01 natural sciences ,Tree (descriptive set theory) ,Amplitude ,Superstrings and Heterotic Strings ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,C++ string handling ,lcsh:QC770-798 ,Point (geometry) ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,010306 general physics ,Mathematical physics - Abstract
We show that the two-point tree level amplitude in string theory in flat space is given by the standard free particle expression., Comment: 7 pages
- Published
- 2019
60. Localization of effective actions in Heterotic String Field Theory
- Author
-
Jakub Vošmera, Carlo Maccaferri, and Harold Erbin
- Subjects
Physics ,Heterotic string theory ,High Energy Physics - Theory ,Nuclear and High Energy Physics ,String Field Theory ,Superstrings and Heterotic Strings ,Worldsheet ,Boundary (topology) ,FOS: Physical sciences ,String field theory ,Moduli space ,Theoretical physics ,High Energy Physics::Theory ,High Energy Physics - Theory (hep-th) ,Quartic function ,lcsh:QC770-798 ,Field theory (psychology) ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,Effective action - Abstract
We consider the algebraic couplings in the tree level effective action of the heterotic string. We show how these couplings can be computed from closed string field theory. When the light fields we are interested in are charged under an underlying ${\mathcal N}=2$ $R$-charge in the left-moving sector, their quartic effective potential localizes at the boundary of the worldsheet moduli space, in complete analogy to the previously studied open string case. In particular we are able to compute the quartic closed string field theory potential without resorting to any explicit expression for the 3- and the 4-strings vertices but only using the $L_\infty$ relations between them. As a non trivial example we show how the heterotic Yang-Mills quartic potential arises in this way., 48 pages incl. appendix. V2: ref added and minor improvements
- Published
- 2019
61. String Field Theory : A Modern Introduction
- Author
-
Harold Erbin and Harold Erbin
- Subjects
- String models, Quantum field theory
- Abstract
This textbook provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory. The main focus of the book is the construction of the closed bosonic SFT. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, the reader is able to study the applications from the literature. The book is organized in two parts. The first part reviews the notions of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, the author outlines the proofs of several important properties such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed.
- Published
- 2021
62. Conformality of $1/N$ corrections in Sachdev-Ye-Kitaev-like models
- Author
-
Swapnamay Mondal, Harold Erbin, Stephane Dartois, Laboratoire de Physique Théorique d'Orsay [Orsay] (LPT), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique de l'ENS (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
invariance: conformal ,model: tensor ,Spontaneous symmetry breaking ,chaos ,01 natural sciences ,Correlation function ,Conformal symmetry ,fermion: Majorana ,0103 physical sciences ,strong coupling ,black hole ,Tensor ,composite ,correlation function ,010306 general physics ,Mathematical physics ,Physics ,field theory: conformal ,AdS/CFT correspondence ,010308 nuclear & particles physics ,higher-order: 0 ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,quantum mechanics: model ,higher-order: 1 ,Order (ring theory) ,spontaneous symmetry breaking ,Fermion ,Goldstone particle ,Symmetry (physics) ,[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] ,field theory in curved space ,Formal aspects of field theory ,holography - Abstract
The Sachdev-Ye-Kitaev (SYK) model is a quantum-mechanical model of N Majorana fermions which displays a number of appealing features—solvability in the strong coupling regime, near-conformal invariance and maximal chaos—which make it a suitable model for black holes in the context of the AdS/CFT holography. In this paper, we show for the colored SYK model and several of its tensor model cousins that the next-to-leading order in the large-N expansion preserves the conformal invariance of the two-point function in the strong-coupling regime, up to the contribution of the pseudo-Goldstone bosons due to the explicit breaking of the symmetry which are already seen in the leading-order four-point function. We also comment on the composite field approach for computing correlation functions in colored tensor models.
- Published
- 2019
63. Quantum Gravity from Timelike Liouville theory
- Author
-
Harold Erbin, Teresa Bautista, Atish Dabholkar, Laboratoire de Physique Théorique et Hautes Energies (LPTHE), and Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,bootstrap: conformal ,kinetic ,FOS: Physical sciences ,Conformal map ,Cosmological constant ,Kinetic term ,General Relativity and Quantum Cosmology (gr-qc) ,01 natural sciences ,General Relativity and Quantum Cosmology ,High Energy Physics::Theory ,0103 physical sciences ,Models of Quantum Gravity ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,010306 general physics ,dimension: 2 ,Mathematical physics ,Physics ,BRST Quantization ,cosmological constant ,Conformal Field Theory ,010308 nuclear & particles physics ,Conformal field theory ,cohomology: Becchi-Rouet-Stora ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,timelike Liouville theory ,crossing ,metric: Euclidean ,Cohomology ,BRST quantization ,Weyl ,field theory: Liouville ,energy: internal ,High Energy Physics - Theory (hep-th) ,quantum gravity ,Path integral formulation ,[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] ,lcsh:QC770-798 ,Quantum gravity ,n-point function: 3 ,n-point function: 4 ,path integral ,2D Gravity - Abstract
A proper definition of the path integral of quantum gravity has been a long-standing puzzle because the Weyl factor of the Euclidean metric has a wrong-sign kinetic term. We propose a definition of two-dimensional Liouville quantum gravity with cosmological constant using conformal bootstrap for the timelike Liouville theory coupled to supercritical matter. We prove a no-ghost theorem for the states in the BRST cohomology. We show that the four-point function constructed by gluing the timelike Liouville three-point functions is well defined and crossing symmetric (numerically) for external Liouville energies corresponding to \textit{all} physical states in the BRST cohomology with the choice of the Ribault-Santachiara contour for the internal energy., Comment: 42 pages
- Published
- 2019
- Full Text
- View/download PDF
64. Mabuchi spectrum from the minisuperspace
- Author
-
Harold Erbin, Corinne de Lacroix, Eirik Eik Svanes, Laboratoire de Physique Théorique de l'ENS (LPTENS), Université Pierre et Marie Curie - Paris 6 (UPMC)-Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure] (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,2d gravity ,FOS: Physical sciences ,Conformal map ,01 natural sciences ,symbols.namesake ,High Energy Physics::Theory ,Minisuperspace ,0103 physical sciences ,Mabuchi theory ,010306 general physics ,Effective action ,Quantum ,Mathematical physics ,Physics ,[PHYS]Physics [physics] ,010308 nuclear & particles physics ,Eigenfunction ,lcsh:QC1-999 ,Classical mechanics ,High Energy Physics - Theory (hep-th) ,symbols ,Mathematics::Differential Geometry ,Hamiltonian (quantum mechanics) ,lcsh:Physics - Abstract
It was recently shown that other functionals contribute to the effective action for the Liouville field when considering massive matter coupled to two-dimensional gravity in the conformal gauge. The most important of these new contributions corresponds to the Mabuchi functional. We propose a minisuperspace action that reproduces the main features of the Mabuchi action in order to describe the dynamics of the zero-mode. We show that the associated Hamiltonian coincides with the (quantum mechanical) Liouville Hamiltonian. As a consequence the Liouville theory and our model of the Mabuchi theory both share the same spectrum, eigenfunctions and - in this approximation - correlation functions., 4 pages; v2: change presentation but conclusion unchanged, match published version
- Published
- 2016
- Full Text
- View/download PDF
65. GANs for generating EFT models
- Author
-
Sven Krippendorf and Harold Erbin
- Subjects
Physics ,FOS: Computer and information sciences ,High Energy Physics - Theory ,Nuclear and High Energy Physics ,Computer Science - Machine Learning ,Theoretical computer science ,Training set ,Field (physics) ,010308 nuclear & particles physics ,FOS: Physical sciences ,Scalar potential ,01 natural sciences ,lcsh:QC1-999 ,Machine Learning (cs.LG) ,Maxima and minima ,High Energy Physics - Phenomenology ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,Point (geometry) ,010306 general physics ,lcsh:Physics ,Generative grammar - Abstract
We initiate a way of generating models by the computer, satisfying both experimental and theoretical constraints. In particular, we present a framework which allows the generation of effective field theories. We use Generative Adversarial Networks to generate these models and we generate examples which go beyond the examples known to the machine. As a starting point, we apply this idea to the generation of supersymmetric field theories. In this case, the machine knows consistent examples of supersymmetric field theories with a single field and generates new examples of such theories. In the generated potentials we find distinct properties, here the number of minima in the scalar potential, with values not found in the training data. We comment on potential further applications of this framework., 6 pages, 6 figures
- Published
- 2018
66. Universality of tunneling particles in Hawking radiation
- Author
-
Vincent Lahoche, Harold Erbin, Laboratoire Bordelais de Recherche en Informatique (LaBRI), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB), and Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB)-Université Sciences et Technologies - Bordeaux 1-Université Bordeaux Segalen - Bordeaux 2
- Subjects
FOS: Physical sciences ,alternative theories of gravity ,General Relativity and Quantum Cosmology (gr-qc) ,spin ,01 natural sciences ,General Relativity and Quantum Cosmology ,horizon ,symbols.namesake ,tunneling ,Quantum mechanics ,0103 physical sciences ,universality ,any-dimensional ,Einstein ,010306 general physics ,Ansatz ,Physics ,radiation: thermal ,Spins ,010308 nuclear & particles physics ,background ,Horizon ,radiation: Hawking ,field equations ,Hamilton-Jacobi equation ,Boltzmann distribution ,Massless particle ,General relativity ,Thermal radiation ,temperature: Hawking ,symbols ,[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] ,Hawking radiation - Abstract
The complex path (or Hamilton-Jacobi) approach to Hawking radiation corresponds to the intuitive picture of particles tunnelling through the horizon and forming a thermal radiation. This method computes the tunnelling rate of a given particle from its equation of motion and equates it to the Boltzmann distribution of the radiation from which the Hawking temperature is identified. In agreement with the original derivation by Hawking and the other approaches, it has been checked case by case that the temperature is indeed universal for a number of backgrounds and the tunnelling of particles from spins $0$ to $1$ mostly, spins $3/2$ and $2$ in some instances. In this letter, we give a general proof that the temperature is indeed equal for all (massless and massive) particles with spins from $0$ to $2$ on an arbitrary background (limited to be Einstein for spin greater than $1$) in any number of dimensions. Moreover, we propose a general argument to extend this result to any spin greater than $2$., 9 pages; v2: 12 pages, add clarifications and more details, matches published version up to milder assumption in arxiv version (but unchanged result)
- Published
- 2018
67. Minisuperspace computation of the Mabuchi spectrum
- Author
-
Harold Erbin, Eirik Eik Svanes, Corinne de Lacroix, Laboratoire de Physique Théorique de l'ENS (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Institut Lagrange de Paris, Sorbonne Universités, Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), and Sorbonne Université (SU)
- Subjects
High Energy Physics - Theory ,Physics and Astronomy (miscellaneous) ,Canonical quantization ,minisuperspace ,Computation ,FOS: Physical sciences ,Conformal map ,General Relativity and Quantum Cosmology (gr-qc) ,01 natural sciences ,General Relativity and Quantum Cosmology ,Gravitation ,conformal gauge ,symbols.namesake ,Minisuperspace ,quantization: canonical ,0103 physical sciences ,correlation function ,gravitation: action ,010306 general physics ,dimension: 2 ,Mathematical physics ,Physics ,Conjecture ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,16. Peace & justice ,Hamiltonian ,field theory: Liouville ,High Energy Physics - Theory (hep-th) ,quantum gravity ,symbols ,[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] ,Quantum gravity ,Hamiltonian (quantum mechanics) - Abstract
It was shown recently that, beside the traditional Liouville action, other functionals appear in the gravitational action of two-dimensional quantum gravity in the conformal gauge, the most important one being the Mabuchi functional. In a letter we proposed a minisuperspace action for this theory and used it to perform its canonical quantization. We found that the Hamiltonian of the Mabuchi theory is equal to the one of the Liouville theory and thus that the spectrum and correlation functions match in this approximation. In this paper we provide motivations to support our conjecture., Comment: 23 pages; v2: minor improvements, match published version
- Published
- 2018
68. Closed Superstring Field Theory and its Applications
- Author
-
Mritunjay Verma, Harold Erbin, Sitender Pratap Kashyap, Ashoke Sen, Corinne de Lacroix, Laboratoire de Physique Théorique de l'ENS (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique de l'ENS ( LPTENS ), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris ( FRDPENS ), and Centre National de la Recherche Scientifique ( CNRS ) -École normale supérieure - Paris ( ENS Paris ) -Centre National de la Recherche Scientifique ( CNRS ) -École normale supérieure - Paris ( ENS Paris ) -Université Pierre et Marie Curie - Paris 6 ( UPMC ) -Centre National de la Recherche Scientifique ( CNRS )
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,Field (physics) ,FOS: Physical sciences ,field theory: string ,01 natural sciences ,String (physics) ,correction: quantum ,[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] ,11.25.Db ,Theoretical physics ,0103 physical sciences ,Field theory (psychology) ,010306 general physics ,Quantum ,Physics ,Heterotic string theory ,Unitarity ,010308 nuclear & particles physics ,heterotic ,superstring perturbation theory ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,Superstring theory ,Astronomy and Astrophysics ,space-time: dimension ,Superstring field theory ,Atomic and Molecular Physics, and Optics ,S-matrix: unitarity ,11.25.Sq ,High Energy Physics - Theory (hep-th) ,space-time: dimension: 4 ,space-time: noncompact ,infrared problem ,superstring: closed - Abstract
We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under quantum corrections, computing renormalized masses and S-matrix of the theory around the shifted vacuum and a proof of unitarity of the S-matrix. The S-matrix computed this way is free from all divergences when there are more than 4 non-compact space-time dimensions, but suffers from the usual infrared divergences when the number of non-compact space-time dimensions is 4 or less., Comment: review article, LaTeX, 137 pages; v2: references updated, other minor changes
- Published
- 2017
69. Deciphering and generalizing Demiański–Janis–Newman algorithm
- Author
-
Harold Erbin, Laboratoire de Physique Nucléaire et de Hautes Énergies (LPNHE (UMR_7585)), Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Nucléaire et de Hautes Énergies ( LPNHE ), Université Pierre et Marie Curie - Paris 6 ( UPMC ) -Institut National de Physique Nucléaire et de Physique des Particules du CNRS ( IN2P3 ) -Université Paris Diderot - Paris 7 ( UPD7 ) -Centre National de la Recherche Scientifique ( CNRS ), Laboratoire de Physique Théorique et Hautes Energies ( LPTHE ), and Université Pierre et Marie Curie - Paris 6 ( UPMC ) -Centre National de la Recherche Scientifique ( CNRS )
- Subjects
High Energy Physics - Theory ,black hole: rotation ,Physics and Astronomy (miscellaneous) ,NUT charge ,Complexification ,charge: NUT ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,Cosmological constant ,angular momentum ,01 natural sciences ,General Relativity and Quantum Cosmology ,horizon ,[ PHYS.GRQC ] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] ,[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] ,topological ,Rotating black hole ,0103 physical sciences ,010306 general physics ,Janis–Newman algorithm ,Physics ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,Horizon ,Supergravity ,Charge (physics) ,Function (mathematics) ,black hole: anti-de Sitter ,cosmological constant: 0 ,High Energy Physics - Theory (hep-th) ,Differential geometry ,black hole: NUT ,adS-NUT black hole ,Metric (mathematics) ,[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] ,supergravity ,Algorithm - Abstract
In the case of vanishing cosmological constant, Demia\'nski has shown that the Janis-Newman algorithm can be generalized in order to include a NUT charge and another parameter $c$, in addition to the angular momentum. Moreover it was proved that only a NUT charge can be added for non-vanishing cosmological constant. However despite the fact that the form of the coordinate transformations was obtained, it was not explained how to perform the complexification on the metric function, and the procedure does not follow directly from the usual Janis-Newman rules. The goal of our paper is threefold: explain the hidden assumptions of Demia\'nski's analysis, generalize the computations to topological horizons (spherical and hyperbolic) and to charged solutions, and explain how to perform the complexification of the function. In particular we present a new solution which is an extension of the Demia\'nski metric to hyperbolic horizons. These different results open the door to applications in (gauged) supergravity since they allow for a systematic application of the Demia\'nski-Janis-Newman algorithm., Comment: 14 pp. (+ 4 app.); v2: modifications to improve clarity, match published version, available at Springer via http://dx.doi.org/10.1007/s10714-016-2054-1
- Published
- 2016
70. Abelian hypermultiplet gaugings and BPS vacua in N $$ \mathcal{N} $$ =2 supergravity
- Author
-
Harold Erbin and Nick Halmagyi
- Subjects
Physics ,Nuclear and High Energy Physics ,Theoretical physics ,High Energy Physics::Theory ,General Relativity and Quantum Cosmology ,Supergravity ,High Energy Physics::Phenomenology ,Scalar (mathematics) ,Hypermultiplet ,Supersymmetry ,Mathematics::Differential Geometry ,Abelian group ,Mathematics::Symplectic Geometry - Abstract
We analyze the gauging of Abelian isometries on the hypermultiplet scalar manifolds of N $$ \mathcal{N} $$ = 2 supergravity in four dimensions. This involves a study of symmetric special quaternionic-Kähler manifolds, building on the work of de Wit and Van Proeyen. In particular we compute the general set of Killing prepotentials and associated compensators for these manifolds. This allows us to glean new insights about AdS 4 vacua which preserve the full N $$ \mathcal{N} $$ = 2 supersymmetry as well as BPS static black hole horizons.
- Published
- 2015
71. Janis–Newman algorithm: simplifications and gauge field transformation
- Author
-
Harold Erbin
- Subjects
Physics ,Set (abstract data type) ,Transformation (function) ,Physics and Astronomy (miscellaneous) ,Generalization ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,Gauge theory ,Gauge (firearms) ,Algorithm ,General Relativity and Quantum Cosmology - Abstract
The Janis-Newman algorithm is an old but very powerful tool to generate rotating solutions from static ones through a set of complex coordinate transformations. Several solutions have been derived in this way, including solutions with gauge fields. However, the transformation of the latter was so far always postulated as an ad hoc result. In this paper we propose a generalization of the procedure, extending it to the transformation of the gauge field. We also present a simplification of the algorithm due to G. Giampieri. We illustrate our prescription on the Kerr-Newman solution., 6 pp. (+ 1 app.). v2: minor modifications to match published version, available at Springer via http://dx.doi.org/10.1007/s10714-015-1860-1
- Published
- 2015
72. Supergravity, complex parameters and the Janis–Newman algorithm
- Author
-
Lucien Heurtier, Harold Erbin, Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique [Palaiseau] (CPHT), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Physics ,High Energy Physics - Theory ,[PHYS]Physics [physics] ,Physics and Astronomy (miscellaneous) ,Supergravity ,Scalar (physics) ,FOS: Physical sciences ,Context (language use) ,Charge (physics) ,Gauge (firearms) ,Type (model theory) ,High Energy Physics::Theory ,General Relativity and Quantum Cosmology ,Rotating black hole ,High Energy Physics - Theory (hep-th) ,Metric (mathematics) ,Algorithm - Abstract
The Demia\'nski-Janis-Newman algorithm is an original solution generating technique. For a long time it has been limited to producing rotating solutions, restricting to the case of a metric and real scalar fields, despite the fact that Demia\'nski extended it to include more parameters such as a NUT charge. Recently two independent prescriptions have been given for extending the algorithm to gauge fields and thus electrically charged configurations. In this paper we aim to end setting up the algorithm by providing a missing but important piece, which is how the transformation is applied to complex scalar fields. We illustrate our proposal through several examples taken from N=2 supergravity, including the stationary BPS solutions from Behrndt et al. and Sen's axion-dilaton rotating black hole. Moreover we discuss solutions that include pairs of complex parameters, such as the mass and the NUT charge, or the electric and magnetic charges, and we explain how to perform the algorithm in this context (with the example of Kerr-Newman-Taub-NUT and dyonic Kerr-Newman black holes). The final formulation of the DJN algorithm can possibly handle solutions with five of the six Pleba\'nski-Demia\'nski parameters along with any type of bosonic fields with spin less than two (exemplified with the SWIP solutions). This provides all the necessary tools for applications to general matter-coupled gravity and to (gauged) supergravity., Comment: 18 pages
- Published
- 2015
73. Janis-Newman algorithm for supergravity black holes
- Author
-
Harold Erbin
- Subjects
Physics ,High Energy Physics::Theory ,General Relativity and Quantum Cosmology ,010308 nuclear & particles physics ,High Energy Physics::Lattice ,Supergravity ,High Energy Physics::Phenomenology ,0103 physical sciences ,Scalar (mathematics) ,General Physics and Astronomy ,010306 general physics ,01 natural sciences ,Algorithm - Abstract
We summarize the recent generalization of the Janis–Newman algorithm in view of its application to (gauged) supergravity. In particular this includes an extension of the algorithm to gauge fields and complex scalar fields, to topological horizons, to dyonic and NUT charges.
- Published
- 2016
74. Five-dimensional Janis-Newman algorithm
- Author
-
Harold Erbin, Lucien Heurtier, Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique [Palaiseau] (CPHT), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Physics ,High Energy Physics - Theory ,[PHYS]Physics [physics] ,Angular momentum ,Physics and Astronomy (miscellaneous) ,Unification ,Generalization ,FOS: Physical sciences ,Extension (predicate logic) ,General Relativity and Quantum Cosmology (gr-qc) ,General Relativity and Quantum Cosmology ,Gravitation ,High Energy Physics - Theory (hep-th) ,Algorithm ,General algorithm ,BTZ black hole - Abstract
The Janis-Newman algorithm has been shown to be successful in finding new sta- tionary solutions of four-dimensional gravity. Attempts for a generalization to higher dimensions have already been found for the restricted cases with only one angular mo- mentum. In this paper we propose an extension of this algorithm to five dimensions with two angular momenta - using the prescription of G. Giampieri - through two specific examples, that are the Myers-Perry and BMPV black holes. We also discuss possible enlargements of our prescriptions to other dimensions and maximal number of angular momenta, and show how dimensions higher than six appear to be much more challenging to treat within this framework. Nonetheless this general algorithm provides a unification of the formulation in d = 3, 4, 5 of the Janis-Newman algorithm, from which which expose several examples including the BTZ black hole., Comment: 27 pages
- Published
- 2014
- Full Text
- View/download PDF
75. Coupling of hard dimers to dynamical lattices via random tensors
- Author
-
Valentin Bonzom and Harold Erbin
- Subjects
Statistics and Probability ,Physics ,High Energy Physics - Theory ,Statistical Mechanics (cond-mat.stat-mech) ,Continuum (topology) ,Conformal field theory ,FOS: Physical sciences ,Statistical and Nonlinear Physics ,General Relativity and Quantum Cosmology (gr-qc) ,Renormalization group ,Coupling (probability) ,General Relativity and Quantum Cosmology ,Theoretical physics ,Singularity ,High Energy Physics - Theory (hep-th) ,Limit (mathematics) ,Tensor ,Statistics, Probability and Uncertainty ,Critical exponent ,Condensed Matter - Statistical Mechanics - Abstract
We study hard dimers on dynamical lattices in arbitrary dimensions using a random tensor model. The set of lattices corresponds to triangulations of the d-sphere and is selected by the large N limit. For small enough dimer activities, the critical behavior of the continuum limit is the one of pure random lattices. We find a negative critical activity where the universality class is changed as dimers become critical, in a very similar way hard dimers exhibit a Yang-Lee singularity on planar dynamical graphs. Critical exponents are calculated exactly. An alternative description as a system of `color-sensitive hard-core dimers' on random branched polymers is provided., 12 pages
- Published
- 2012
76. Quarter-BPS black holes in AdS4-NUT from N = 2 $$ \mathcal{N}=2 $$ gauged supergravity
- Author
-
Nick Halmagyi and Harold Erbin
- Subjects
Physics ,Nut ,Nuclear and High Energy Physics ,010308 nuclear & particles physics ,Scalar (mathematics) ,Gauged supergravity ,High Energy Physics::Phenomenology ,Sigma ,01 natural sciences ,High Energy Physics::Theory ,General Relativity and Quantum Cosmology ,Flow (mathematics) ,Gauge group ,0103 physical sciences ,010306 general physics ,Mathematical physics - Abstract
We study N = 2 $$ \mathcal{N}=2 $$ gauged supergravity with U(1) gauge group coupled to n v vector multiplets and find quite general analytic solutions for quarter-BPS black holes with mass, NUT and dyonic Maxwell charges. The solutions we find have running scalar fields and flow in the IR region to a horizon geometry of the form AdS 2 × Σ g .
- Full Text
- View/download PDF
77. Initial value problem in string-inspired nonlocal field theory
- Author
-
Harold Erbin, Atakan Hilmi Fırat, Barton Zwiebach, Département Intelligence Ambiante et Systèmes Interactifs (DIASI), Laboratoire d'Intégration des Systèmes et des Technologies (LIST), Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, Laboratoire d'Intégration des Systèmes et des Technologies (LIST (CEA)), and Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,causality ,superluminal ,FOS: Physical sciences ,QC770-798 ,field theory: string ,01 natural sciences ,string: open ,tachyon ,Nuclear and particle physics. Atomic energy. Radioactivity ,0103 physical sciences ,field theory: nonlocal ,010306 general physics ,010308 nuclear & particles physics ,Tachyon Condensation ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,potential: scalar ,Effective Field Theories ,oscillation ,boundary condition ,field theory: scalar ,Hamiltonian ,High Energy Physics - Theory (hep-th) ,time dependence ,String Field Theory ,light cone - Abstract
We consider a nonlocal scalar field theory inspired by the tachyon action in open string field theory. The Lorentz-covariant action is characterized by a parameter $\xi^2$ that quantifies the amount of nonlocality. Restricting to purely time-dependent configurations, we show that a field redefinition perturbative in $\xi^2$ reduces the action to a local two-derivative theory with a $\xi^2$-dependent potential. This picture is supported by evidence that the redefinition maps the wildly oscillating rolling tachyon solutions of the nonlocal theory to conventional rolling in the new scalar potential. For general field configurations we exhibit an obstruction to a local Lorentz-covariant formulation, but we can still achieve a formulation local in time, as well as a light-cone formulation. These constructions provide an initial value formulation and a Hamiltonian. Their causality is consistent with a lack of superluminal behavior in the nonlocal theory., Comment: 49 pages, 14 figures
- Full Text
- View/download PDF
78. Minisuperspace computation of the Mabuchi spectrum.
- Author
-
Corinne de Lacroix, Harold Erbin, and Eirik E Svanes
- Subjects
- *
QUANTUM gravity , *CANONICAL quantization , *LIOUVILLE'S theorem - Abstract
It was shown recently that, beside the traditional Liouville action, other functionals appear in the gravitational action of two-dimensional quantum gravity in the conformal gauge, the most important one being the Mabuchi functional. In a letter we proposed a minisuperspace action for this theory and used it to perform its canonical quantization. We found that the Hamiltonian of the Mabuchi theory is equal to the one of the Liouville theory and thus that the spectrum and correlation functions match in this approximation. In this paper we provide motivations to support our conjecture. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
79. Five-dimensional Janis–Newman algorithm.
- Author
-
Harold Erbin and Lucien Heurtier
- Subjects
- *
BLACK holes , *ALGORITHM research , *GRAVITY , *EINSTEIN field equations , *QUANTUM gravity - Abstract
The Janis–Newman algorithm has been shown to be successful in finding new stationary solutions of four-dimensional gravity. Attempts for a generalization to higher dimensions have already been found for the restricted cases with only one angular momentum. In this paper we propose an extension of this algorithm to five-dimensions with two angular momenta—using the prescription of Giampieri—through two specific examples, that are the Myers–Perry and BMPV black holes. We also discuss possible enlargements of our prescriptions to other dimensions and maximal number of angular momenta, and show how dimensions higher than six appear to be much more challenging to treat within this framework. Nonetheless this general algorithm provides a unification of the formulation in of the Janis–Newman algorithm, from which several examples are exposed, including the BTZ black hole. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
80. Supergravity, complex parameters and the Janis–Newman algorithm.
- Author
-
Harold Erbin and Lucien Heurtier
- Subjects
- *
SUPERGRAVITY , *SCALAR field theory , *BLACK holes , *GRAVITATION , *QUANTUM gravity - Abstract
The Demiański–Janis–Newman (DJN) algorithm is an original solution generating technique. For a long time it has been limited to producing rotating solutions, restricted to the case of a metric and real scalar fields, despite the fact that Demiański extended it to include more parameters such as a NUT charge. Recently two independent prescriptions have been given for extending the algorithm to gauge fields and thus electrically charged configurations. In this paper we aim to end setting up the algorithm by providing a missing but important piece, which is how the transformation is applied to complex scalar fields. We illustrate our proposal through several examples taken from N = 2 supergravity, including the stationary BPS solutions from Behrndt et al and Senʼs axion–dilaton rotating black hole. Moreover we discuss solutions that include pairs of complex parameters, such as the mass and the NUT charge, or the electric and magnetic charges, and we explain how to perform the algorithm in this context (with the example of Kerr–Newman–Taub–NUT and dyonic Kerr–Newman black holes). The final formulation of the DJN algorithm can possibly handle solutions with five of the six Plebański–Demiański parameters along with any type of bosonic fields with spin less than two (exemplified with the stationary Israel–Wilson–Perjes solutions). This provides all the necessary tools for applications to general matter-coupled gravity and to (gauged) supergravity. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
Catalog
Discovery Service for Jio Institute Digital Library
For full access to our library's resources, please sign in.