Abhijit Gadde (TIFR, Mumbai)

Abstract: In this talk, I will present a novel modular property of 4d N=1
supersymmetric partition functions of supersymmetric theories with
R-symmetry. It is a generalization of the modular invariance of the
supersymmetric partition function of two-dimensional supersymmetric
theories on a torus i.e. of the elliptic genus. It comes from
requiring consistency of partition functions under gluing and, among
other things, can be used to rederive the supersymmetric Cardy formula
for four-dimensional gauge theories that has played a key role in
computing the entropy of supersymmetric black holes.