M5 brane and four dimensional N=1 theories I
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.
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