Partition function of gauge theories on the blowup and non-perturbative topological strings (Ideal Majtara, SISSA)

12.12.2024 10:00

The low-energy theory of 4d N=2 supersymmetric gauge theories is encoded in the Seiberg-Witten (SW) curve which is naturally related to an integrable system. For SU(2) gauge theories, in presence of Omega-background this integrable system is given by Painlevé equations. In this talk we will show that the Nekrasov partition functions of 4d SU(2) susy gauge theories on the blowup of spacetime are tau functions which solve the Painlevé equations in Hirota bilinear form. These solutions can be expressed as expansions in terms of the moduli of the quantum SW curve and the construction can be applied also to non-Lagrangian theories. Furthermore, these solutions have manifest modular properties which provide a natural non-perturbative completion of the corresponding topological string partition function and they directly lead to the BCOV holomorphic anomaly equations of the topological string.

Lieu

Bâtiment: Conseil Général 7-9

Room 8th floor, Séminaire "Physical Mathematics Seminar"

entrée libre