Alex Weekes, University of British Columbia – Geometric Methods in Representation Theory Seminar

Title:  Coulomb branches symmetrizable types

Abstract: Braverman-Finkelberg-Nakajima have recently given a mathematical construction of the Coulomb branches for 3d N=4 theories. From a representation-theoretic perspective, one reason that their work is especially appealing is that affine Grassmannian slices of ADE types arise this way, associated to quiver gauge theories. By allowing general quivers, Coulomb branches also provide a candidate definition for affine Grassmannian slices in all symmetric Kac-Moody types. In this talk I will discuss joint work with Nakajima, where we generalize the BFN construction of the Coulomb branch to incorporate “symmetrizers”. In this way we recover affine Grassmannian slices in BCFG type, and a candidate definition for symmetrizable Kac-Moody types.