Topic: Closed-form Schur indices and free fields

Speaker: Assoc. Prof. Yiwen Pan

Coordinates:  PCFT C1124, 16:00, Thursday, Oct. 28

Abstract: Schur index is a remarkable observable associated to any 4d N=2 SCFT, and it plays a central role in the SCFT/VOA correspondence. In this talk, I will discuss an elementary method to compute the Schur index in closed-form in terms of finite sum of Eisenstein series. In particular, we derive a compact closed-form formula for all A1-theories of class-S, and conjecture closed-form unflavored indices for N=4 theories with SU(N) gauge groups. Some applications towards non-Lagrangian theories, modularity will also be discussed.