English

Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane

High Energy Physics - Theory 2009-10-30 v3

Abstract

We study the moduli space of vacua of four dimensional N=1 and N=2 supersymmetric gauge theories with the gauge groups Sp(2Nc)Sp(2 N_c), SO(2Nc)SO(2 N_c) and SO(2Nc+1)SO(2 N_c +1) 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 ss-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 SU(Nc)SU(N_c) 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