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Your search keyword '"GU Jie"' showing total 14 results
Start Over Author "GU Jie" Topic topological strings
14 results on '"GU Jie"'

13. Blowup Equations for 6d SCFTs. I

Author

Gu, Jie, Haghighat, Babak, Sun, Kaiwen, Wang, Xin, 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, partition function, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], symmetry: gauge, FOS: Physical sciences, string: self-duality, Field Theories in Higher Dimensions, Topological Strings, Mathematical Physics (math-ph), engineering: geometrical, Solitons Monopoles and Instantons, SO(8), Mathematics::Algebraic Geometry, High Energy Physics - Theory (hep-th), SU(3), Conformal Field Models in String Theory, Calabi-Yau, string: topological, BPS, Mathematics::Symplectic Geometry, supersymmetry: conformal, Mathematical Physics
Abstract

We propose novel functional equations for the BPS partition functions of 6d (1,0) SCFTs, which can be regarded as an elliptic version of Gottsche-Nakajima-Yoshioka's K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for refined topological strings on certain local elliptic Calabi-Yau threefolds. We derive recursion formulas for elliptic genera of self-dual strings on the tensor branch from these functional equations and in this way obtain a universal approach for determining refined BPS invariants. As examples, we study in detail the minimal 6d SCFTs with SU(3) and SO(8) gauge symmetry. In companion papers, we will study the elliptic blowup equations for all other non-Higgsable clusters., 52 pages, 3 figures

Published
2019

14. High order perturbation theory for difference equations and Borel summability of quantum mirror curves.

Author

Gu, Jie and Sulejmanpasic, Tin

Subjects
*QUANTUM perturbations, *DIFFERENCE equations, *SUMMABILITY theory, *QUANTUM theory, *CURVED spacetime
Abstract

We adapt the Bender-Wu algorithm to solve perturbatively but very efficiently the eigenvalue problem of "relativistic" quantum mechanical problems whose Hamiltonians are difference operators of the exponential-polynomial type. We implement the algorithm in the function BWDifference in the updated Mathematica package BenderWu. With the help of BWDifference, we survey quantum mirror curves of toric fano Calabi-Yau threefolds, and find strong evidence that not only are the perturbative eigenenergies of the associated 1d quantum mechanical problems Borel summable, but also that the Borel sums are exact. [ABSTRACT FROM AUTHOR]

Published
2017
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