Brane Configurations of BPS Domain Walls for the N=1^* SU(N) Gauge Theory

TL;DR

This paper investigates supersymmetric domain walls in N=1^* SU(N) gauge theory, using string duals involving spherical 5-branes to construct BPS domain walls and compare with field theory results.

Contribution

It introduces a string-theoretic construction of BPS domain walls in N=1^* gauge theory, connecting brane configurations with field theoretic vacua and dielectric brane physics.

Findings

Constructed BPS domain walls using spherical 5-branes.

Established correspondence between string duals and field theory domain walls.

Linked dielectric brane phenomena to domain wall physics.

Abstract

We study supersymmetric domain walls in N=1 SU(N) gauge theory with 3 massive adjoint representation chiral multiplets. This theory, known as N=1^*, can be obtained as a massive deformation of N=4 Yang-Mills theory. Following Polchinski and Strassler, we consider the string dual of this theory in terms of spherical 5-branes and construct BPS domain walls interpolating between the many vacua. We compare our results to field theoretic domain walls and also find that this work is related to the physics of expanded ``dielectric'' branes near zero radius.