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

Stefano Bolognesi,Kenichi Konishi,Simone Giacomelli

doi:10.1007/jhep08(2015)131

Abstract

We revisit the study of singular points in the Coulomb branch of N = 2 SQCD in four dimensions with gauge group 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 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 o f 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 SCFT (the Argyres-Douglas systems) are strongly-coupled non-local theories of quarks and monopoles.

Highlights

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 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
The special feature of the quadratic superpotential is that the resulting IR effective theory turns out to be extremely simple: after the N = 1 deformation the AD theory flows to a theory describing a free chiral multiplet in the adjoint representation of the global symmetry group of the underlying gauge theory