Confining Phase of N=1 $Sp(N_c)$ Gauge Theories via M Theory Fivebrane

TL;DR

This paper studies the confining phase of N=1 Sp(N_c) supersymmetric gauge theories using M theory fivebrane configurations, revealing insights into the moduli space and effective superpotential.

Contribution

It constructs M theory fivebrane configurations corresponding to superpotential perturbations and interprets field theory vacua as brane geometries, providing exact results for the effective superpotential.

Findings

Brane configurations match field theory vacua.

The low energy superpotential with enhanced gauge group is exact.

Dyon vacuum expectation values are geometrically realized.

Abstract

The moduli space of vacua for the confining phase of N=1 $Sp(N_c)$ supersymmetric gauge theories in four dimensions is studied by M theory fivebrane. We construct M theory fivebrane configuration corresponding to the perturbation of superpotential in which the power of adjoint field is related to the number of NS'5 branes in type IIA brane configuration. We interpret the dyon vacuum expectation values in field theory results as the brane geometry and the comparison with meson vevs will turn out that the low energy effective superpotential with enhanced gauge group SU(2) is exact.