Ideal Majtara 学术报告
Title: Partition function of gauge theories on the blowup and non-perturbative topological strings
Speaker: Ideal Majtara
Affiliation: SISSA, Italy (意大利的理雅斯特国际高等研究院)
Time: 16:00-17:00, Friday, January 3rd, 2025 (UTC+8, Beijing Time)
Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)
Inviter: Jie Gu (顾杰)
Abstract
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.
Speaker
The seminar will be broadcasted online by Zoom.
Interested people are free to join, without registration in advance.
The Zoom info is
URL: https://us02web.zoom.us/j/3854420225?pwd=SXY4eWJKOTBFZWJDaE16aXpTamY1QT09
Meeting ID: 385 442 0225
Passcode: yauc