English

$\mathcal{N}=2$ Argyres-Douglas theories, $\mathcal{N}=1$ SQCD and Seiberg duality

High Energy Physics - Theory 2015-09-18 v2

Abstract

We revisit the study of singular points in the Coulomb branch of N=2\mathcal{N}=2 SQCD in four dimensions with gauge group SU(N)SU(N) and odd number of flavors. For certain choices of the mass parameters these vacua are not lifted by a mass term for the chiral multiplet in the adjoint representation. By using recent results about the M5 brane description of N=1\mathcal{N}=1 theories we study the resulting vacua and argue that the low-energy effective theory has a simple Lagrangian description involving a free chiral multiplet in the adjoint representation of the flavor symmetry group, a system somewhat reminiscent of the standard low-energy pion description of the real-world QCD. This fact is quite remarkable in view of the fact that the underlying N=2\mathcal{N}=2 SCFT (the Argyres-Douglas systems) are strongly-coupled non-local theories of quarks and monopoles.

Keywords

Cite

@article{arxiv.1505.05801,
  title  = {$\mathcal{N}=2$ Argyres-Douglas theories, $\mathcal{N}=1$ SQCD and Seiberg duality},
  author = {Stefano Bolognesi and Simone Giacomelli and Kenichi Konishi},
  journal= {arXiv preprint arXiv:1505.05801},
  year   = {2015}
}

Comments

29 pages, 1 figure; v2: minor changes