Abstract
Brane systems provide a large class of gauge theories that arise in string theory. This paper demonstrates how such brane systems fit with a somewhat exotic geometric object, called the affine Grassmannian. This gives a strong motivation to study physical aspects of the affine Grassmannian. Explicit quivers are presented throughout the paper, and a quiver addition algorithm to generate the affine Grassmannian is introduced. An important outcome of this study is a set of quivers for new elementary slices.
Information
Published: 1 January 2023
First available in Project Euclid: 8 May 2023
Digital Object Identifier: 10.2969/aspm/08810331
Subjects:
Primary:
81T30
Keywords:
affine Grassmanian
,
branes
,
representation theory
Rights: Copyright © 2023 Mathematical Society of Japan