VOL. 88 | 2023 Branes, quivers, and the affine Grassmannian
Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Marcus Sperling, Zhenghao Zhong

Editor(s) Yukari Ito, Akira Ishii, Osamu Iyama

Adv. Stud. Pure Math., 2023: 331-435 (2023) DOI: 10.2969/aspm/08810331

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

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