String-Math Seminar: BPS Particles, Superconformal Indices, and Chiral Algebras

Seminar | April 17 | 2-3 p.m. | 402 LeConte Hall

 Clay Cordova, IAS

 Department of Mathematics

I will describe several recently posed conjectures that relate BPS states in four-dimensional N=2 quantum field theories to representation theory of non-unitary chiral algebras. These conjectures construct wall-crossing invariant generating functions of refined BPS indices which surprisingly are equal to characters of chiral algebras. These characters frequently enjoy nice modular properties. I will also discuss extensions to BPS states in the presence of defects which further enrich the correspondence.