Duals for SU(N) SUSY gauge theories with an antisymmetric tensor: five easy flavors

TL;DR

This paper explores the phase structure of N=1 supersymmetric SU(N_c) gauge theories with an antisymmetric tensor and five flavors, revealing an infrared fixed point for large N_c and contrasting behaviors with non-SUSY QCD.

Contribution

It extends previous analyses to even N_c without superpotential, demonstrating the existence of an interacting IR fixed point using holomorphy techniques.

Findings

The theory has an interacting infrared fixed point for large N_c.

Transition from five to four flavors leads to confinement, unlike SUSY QCD.

Behavior mirrors non-SUSY QCD in certain limits.

Abstract

I consider N=1 supersymmetric SU(N_c) gauge theories with matter fields consisting of one antisymmetric representation, five flavors, and enough anti-fundamental representations to cancel the gauge anomaly. Previous analyses are extended to the case of even N_c with no superpotential. Using holomorphy I show that the theory has an interacting infrared fixed point for sufficiently large N_c. These theories are interesting due to the fact that in going from five to four flavors the theory goes from a non-trivial infrared fixed point to confinement, in contradistinction to SUSY QCD, but in analogy to the behavior expected in non-SUSY QCD.