Vacuum states of N=1* mass deformations of N=4 and N=2 conformal gauge theories and their brane interpretations

TL;DR

This paper identifies classical supersymmetric vacuum states in mass-deformed N=4 and N=2 superconformal gauge theories with various gauge groups, providing new vacua and brane interpretation insights.

Contribution

It discovers new classical vacua for mass-deformed N=4 models with Sp(2N) and SO(N) gauge groups and extends the understanding of vacua in N=2 models with different gauge groups and matter content.

Findings

New vacua for mass-deformed N=4 models with Sp(2N) and SO(N) gauge groups

Classical vacua for N=2 models with Sp(2N) and SU(N) gauge groups

Brane interpretations of the vacua in terms of three- and five-brane configurations

Abstract

We find the classical supersymmetric vacuum states of a class of N = 1* field theories obtained by mass deforming superconformal models with simple gauge groups and N = 4 or N =2 supersymmetry. In particular, new classical vacuum states for mass-deformed N = 4 models with Sp(2N) and SO(N) gauge symmetry are found. We also derive the classical vacua for various mass-deformed N=2 models with Sp(2N) and SU(N) gauge groups and antisymmetric (and symmetric) hypermultiplets. We suggest interpretations of the mass-deformed vacua in terms of three-branes expanded into five-brane configurations.