English

M5 brane and four dimensional N=1 theories I

High Energy Physics - Theory 2015-06-16 v1

Abstract

Four dimensional N=1 theories are engineered by compactifying six dimensional (2,0) theory on a Riemann surface with regular punctures. A generalized Hitchin's equation involving two Higgs fields is proposed as the BPS equation for N=1 compactification. The puncture is interpreted as the singular boundary condition of this equation, and regular puncture is shown to be labeled by a nilpotent commuting pair. In this paper, we focus on a subset of regular puncture which is described by rotating branes representing N=2 puncture. As an application, we show that the Seiberg duality of SU(N) SQCD with Nf=2N and certain superpotential term is realized as different degeneration limits of the same punctured Riemann surface, and also find four more dual theories.

Keywords

Cite

@article{arxiv.1307.5877,
  title  = {M5 brane and four dimensional N=1 theories I},
  author = {Dan Xie},
  journal= {arXiv preprint arXiv:1307.5877},
  year   = {2015}
}

Comments

30 pages, 18 figures

R2 v1 2026-06-22T00:55:49.773Z