Color Superconductivity in N=2 Supersymmetric Gauge Theories

TL;DR

This paper investigates the vacuum structure of N=2 supersymmetric QCD with SU(2) gauge group and two flavors, revealing that strong gauge dynamics induce baryon number breaking and color superconductivity when SUSY is softly broken by chemical potential and mass terms.

Contribution

It provides an exact analysis of the low energy effective potential showing how baryon number breaking and color superconductivity emerge in N=2 SUSY QCD under small SUSY-breaking perturbations.

Findings

Baryon number symmetry is spontaneously broken due to strong gauge dynamics.

Color superconductivity occurs at the non-SUSY vacuum.

The analysis uses exact results of N=2 SUSY QCD with perturbative SUSY-breaking terms.

Abstract

We study vacuum structure of N=2 supersymmetric (SUSY) QCD, based on the gauge group SU(2) with N_f=2 flavors of massive hypermultiplet quarks, in the presence of non-zero baryon chemical potential (\mu). The theory has a classical vacuum preserving baryon number symmetry, when a mass term, which breaks N=2 SUSY but preserves N=1 SUSY, for the adjoint gauge chiral multiplet (m_{ad}) is introduced. By using the exact result of N=2 SUSY QCD, we analyze low energy effective potential at the leading order of perturbation with respect to small SUSY breaking parameters, \mu and m_{ad}. We find that the baryon number is broken as a consequence of the SU(2) strong gauge dynamics, so that color superconductivity dynamically takes place at the non-SUSY vacuum.