Branes, Quivers, and the Affine Grassmannian

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.

References in corpus (4)

• Branes and the Kraft-Procesi Transition
• Quiver Theories and Hilbert Series of Classical Slodowy Intersections
• Generators for Coulomb branches of quiver gauge theories
• Modular representations of reductive groups and geometry of affine Grassmannians