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177 results on '"Gaberdiel, Matthias R."'

7. The u(2|2)1 WZW model.

Author

Gaberdiel, Matthias R and Mazzucchelli, Elia

Subjects
*LIE algebras, *STRING theory, *CONFORMAL field theory
Abstract

WZW models based on super Lie algebras play an important role for the description of string theory on AdS spaces. In particular, for the case of AdS 3 × S 3 with pure NS–NS flux the super Lie algebra of psu (1 , 1 | 2) k appears in the hybrid formalism, and higher dimensional AdS spaces can be described in terms of related supergroup cosets. In this paper we study the WZW models based on u (2 | 2) 1 and psu (2 | 2) 1 that may play a role for the worldsheet theory that is dual to free super Yang–Mills in 4D. [ABSTRACT FROM AUTHOR]

Published
2024
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8. Tensionless strings on AdS3 orbifolds.

Author

Gaberdiel, Matthias R., Guo, Bin, and Mathur, Samir D.

Subjects
*ORBIFOLDS, *STRING theory, *BOUND states, *BRANES, *BLACK holes
Abstract

The bound state of one NS5 brane (wrapped on a 핋4) and N NS1-branes has two dual descriptions: its low-energy dynamics is described by the symmetric orbifold of 핋4, while the near horizon geometry is captured by string theory on AdS3 × S3 × 핋4 with one unit of NS flux. The latter theory is exactly solvable in the hybrid formalism, and this allows one to prove the equivalence of the two descriptions. In this paper we extend this duality to ℤk orbifolds of this AdS3 × S3 background. In particular, we show that the corresponding worldsheet spectrum reproduces exactly the perturbative excitations on top of a certain non-perturbative state in the dual symmetric orbifold theory. Since the AdS/CFT duality map is exact for these models, we obtain an interesting picture of how the duality relates boundary and bulk descriptions. [ABSTRACT FROM AUTHOR]

Published
2024
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26. BPS Correlators for $\text{AdS}_3/\text{CFT}_2$

Author

Gaberdiel, Matthias R. and Nairz, Beat

Subjects
High Energy Physics - Theory, High Energy Physics::Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
Abstract

The BPS correlators of the symmetric product orbifold $\text{Sym}_N(\mathbb{T}^4)$ are reproduced from the dual worldsheet theory describing strings on $\text{AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with minimal ($k=1$) NS-NS flux. More specifically, we show that the worldsheet duals of the symmetric orbifold BPS states can be identified with their lift to the covering surface, thereby making the matching of the correlators essentially manifest. We also argue that the argument can be generalised to arbitrary descendants, using suitable DDF operators on the worldsheet., 18+2 pages, 1 figure

Published
2022

39. String Dual to Free N=4 Supersymmetric Yang-Mills Theory

Author

Gaberdiel, Matthias R. and Gopakumar, Rajesh

Subjects
High Energy Physics::Theory
Abstract

We propose a worldsheet description for the AdS5×S5 string theory dual to large N, free N=4 supersymmetric Yang-Mills theory in four dimensions. The worldsheet theory is a natural generalization of the recently investigated tensionless string on AdS3×S3×T4. As in the case of AdS3 it has a free field description, with spectrally flowed sectors, and is closely related to an (ambi-)twistor string theory. Here, however, we view it as a critical N=4 (closed) string background. We argue that the corresponding worldsheet gauge constraints reduce the degrees of freedom to a finite number of oscillators (string bits) in each spectrally flowed sector. Imposing a set of residual gauge constraints on this reduced oscillator Fock space then determines the physical spectrum of the string theory. Quite remarkably, we find that this prescription reproduces precisely the entire planar spectrum—of single trace operators—of the free supersymmetric Yang-Mills theory., Physical Review Letters, 127 (13), ISSN:0031-9007, ISSN:1079-7114

Published
2021

40. Deformed Shatashvili-Vafa algebra for superstrings on AdS3 x ℳ7

Author

Fiset, Marc-Antoine and Gaberdiel, Matthias R.

Subjects
Conformal Field Models in String Theory, Superstring Vacua, Conformal and W Symmetry
Abstract

String backgrounds of the form × ℳ where denotes 3-dimensional Minkowski space while ℳ is a 7-dimensional G -manifold, are characterised by the property that the world-sheet theory has a Shatashvili-Vafa (SV) chiral algebra. We study the generalisation of this statement to backgrounds where the Minkowski factor is replaced by AdS . We argue that in this case the world-sheet theory is characterised by a certain N = 1 superconformal W-algebra that has the same spin spectrum as the SV algebra and also contains a tricritical Ising model N = 1 subalgebra. We determine the allowed representations of this W-algebra, and analyse to which extent the special features of the SV algebra survive this generalisation., Journal of High Energy Physics, 2021 (5), ISSN:1126-6708, ISSN:1029-8479

Published
2021

41. BPS correlators for AdS3/CFT2.

Author

Gaberdiel, Matthias R. and Nairz, Beat

Subjects
*CORRELATORS, *ORBIFOLDS, *STRING theory
Abstract

The BPS correlators of the symmetric product orbifold SymN(핋4) are reproduced from the dual worldsheet theory describing strings on AdS3× S3× 핋4 with minimal (k = 1) NS-NS flux. More specifically, we show that the worldsheet duals of the symmetric orbifold BPS states can be identified with their lift to the covering surface, thereby making the matching of the correlators essentially manifest. We also argue that the argument can be generalised to arbitrary descendants, using suitable DDF operators on the worldsheet. [ABSTRACT FROM AUTHOR]

Published
2022
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42. BPS correlators for AdS3/CFT2.

Author

Gaberdiel, Matthias R. and Nairz, Beat

Subjects
CORRELATORS, ORBIFOLDS, STRING theory
Abstract

The BPS correlators of the symmetric product orbifold SymN(핋4) are reproduced from the dual worldsheet theory describing strings on AdS3× S3× 핋4 with minimal (k = 1) NS-NS flux. More specifically, we show that the worldsheet duals of the symmetric orbifold BPS states can be identified with their lift to the covering surface, thereby making the matching of the correlators essentially manifest. We also argue that the argument can be generalised to arbitrary descendants, using suitable DDF operators on the worldsheet. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
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