Instanton Partition Function in the Nekrasov-Shatashvili Limit and Differential Equations
Time: 2023-03-28
Published By: Wenqiong Li
Speaker(s): Ruidong Zhu (Soochow University)
Time: 14:00-15:00 April 18, 2023
Venue: Room 29, Quan Zhai, BICMR
Nekrasov’s instanton partition function of 4d N=2 supersymmetric gauge theories is deeply connected to the integrability in the physics context, and thus is also deeply related to exact analysis in mathematics such as the resurgence. In this talk, I will first briefly give a review on the relation between supersymmetric gauge theories and a family of differential equations, the Heun equations. Then I will give an concrete example to show how this intriguing connection helps to solve an important class of physical quantities, called the quasinormal modes of black holes.