English

Unitary matrix with a Penner-like potential also yields N_f=2

High Energy Physics - Theory 2020-01-08 v2

Abstract

It has been known for some time that a hermitian matrix model with a Penner-like potential yields as its large-N free energy the prepotential of N=2 N_f=2 SU(2) SUSY gauge theory. We give a rigorous proof that a unitary matrix model with the identical potential also yields the same prepotential, although the parameter identifications are slightly different. This result has been anticipated by Itoyama et. al.

Keywords

Cite

@article{arxiv.1909.09041,
  title  = {Unitary matrix with a Penner-like potential also yields N_f=2},
  author = {Shun'ya Mizoguchi and Hajime Otsuka and Hitomi Tashiro},
  journal= {arXiv preprint arXiv:1909.09041},
  year   = {2020}
}

Comments

11 pages. v2: references added. To appear in Phys.Lett.B