Brane Dynamics and N=1 Supersymmetric Gauge Theory

TL;DR

This paper explores how brane dynamics in string theory relate to four-supercharge gauge theories, reproducing key features and establishing dualities for various gauge groups and matter representations.

Contribution

It introduces a set of rules linking brane behavior to gauge theory properties, including the derivation of Seiberg duality for multiple gauge groups.

Findings

Brane rules reproduce gauge theory features.

Seiberg duality established for multiple gauge groups.

Analysis includes fundamental and tensor matter representations.

Abstract

We discuss some aspects of the relation between space-time properties of branes in string theory, and the gauge theory on their worldvolume, for models invariant under four supercharges in three and four dimensions. We show that a simple set of rules governing brane dynamics reproduces many features of gauge theory. We study theories with $U(N_c)$, $SO(N_c)$ and $Sp(N_c)$ gauge groups and matter in the fundamental and two index tensor representations, and use the brane description to establish Seiberg's electric-magnetic duality for these models.