MS Seminar (Mathematics - String Theory)

Speaker: Anton Kapustin (Caltech)
Title: Three-dimensional Seiberg duality and generalizations of the Verlinde algebra
Date: Tue, Oct 02, 2012, 13:15 - 14:45
Place: Seminar Room A
Abstract: Three-dimensional Seiberg duality can be viewed as a generalization of level-rank duality to theories which are not topological. The algebras of Wilson loops in these theories play the role of the Verlinde algebra. I will explain how to compute these algebras and will show that for theories related by 3d Seiberg duality they are isomorphic. I will also argue that these algebras can be interpreted in terms of the equivariant quantum cohomology of certain manifolds, in complete parallel with the interpretation of the Verlinde algebra in terms of the quantum cohomology of Grassmannians.