Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
Abstract
We study the moduli space of vacua of four dimensional N=1 and N=2 supersymmetric gauge theories with the gauge groups , and using the M theory fivebrane. Higgs branches of the N=2 supersymmetric gauge theories are interpreted in terms of the M theory fivebrane and the type IIA -rule is realized in it. In particular we construct the fivebrane configuration which corresponds to a special Higgs branch root. This root is analogous to the baryonic branch root in the theory which remains as a vacuum after the adjoint mass perturbation to break N=2 to N=1. Furthermore we obtain the monopole condensations and the meson vacuum expectation values in the confining phase of N=1 supersymmetric gauge theories using the fivebrane technique. These are in complete agreement with the field theory results for the vacua in the phase with a single confined photon.
Keywords
Cite
@article{arxiv.hep-th/9712172,
title = {Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane},
author = {Seiji Terashima},
journal= {arXiv preprint arXiv:hep-th/9712172},
year = {2009}
}
Comments
45 pages, Latex. Includes corrections to sections on Higgs branch. Minor corrections to text. Final version to appear in Nucl. Phys. B