VOL. 88 | 2023 Branes, quivers, and the affine Grassmannian
Chapter Author(s) 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

PROCEEDINGS ARTICLE
105 PAGES


Back to Top