N=1 Supersymmetric Gauge Theories and Supersymmetric 3-cycles

TL;DR

This paper explores the strong coupling behavior of chiral N=1 supersymmetric gauge theories through their M-theory embeddings, revealing how supersymmetric 3-cycles encode non-perturbative gauge theory data.

Contribution

It demonstrates that the M-theory embedding of brane box models can be described by supersymmetric 3-cycles, providing geometric insight into non-perturbative effects.

Findings

M-theory embedding described by supersymmetric 3-cycles

Holomorphic non-perturbative information encoded in geometry

Connection between brane models and geometric cycles

Abstract

In this paper we discuss the strong coupling limit of chiral N=1 supersymmetric gauge theory via their embedding into M-theory. In particular we focus on the brane box models of Hanany and Zaffaroni and show that after a T-duality transformation their M-theory embedding is described by supersymmetric 3-cycles; its geometry will encode the holomorphic non-perturbative information about the gauge theory.