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BPS States and Chiral Algebras

Mathematical Physics Seminar

Speaker: Clay Córdova, IAS
Location: 2112 MSB
Start time: Fri, Apr 21 2017, 1:00PM

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.



Pastries & coffee served at 1pm