Fate of Chiral Symmetries in Supersymmetric Quantum Chromodynamics

TL;DR

This paper investigates the fate of chiral symmetries in supersymmetric QCD, proposing an effective superpotential that describes symmetry breaking and anomaly matching for certain flavor and color configurations.

Contribution

It introduces an alternative effective superpotential description for supersymmetric QCD that captures chiral symmetry breaking and anomaly matching beyond Seiberg's duality.

Findings

Chiral symmetry is spontaneously broken to a nonabelian subgroup.

The effective superpotential correctly accounts for Nambu-Goldstone superfields.

Instanton effects are incorporated into the superpotential.

Abstract

In supersymmetric quantum chromodynamics with N_c-colors and N_f-flavors of quarks, our effective superpotential provides the alternative description to the Seiberg's N=1 duality at least for N_f>=N_c+2, where spontaneous breakdown of chiral symmetries leads to SU(N_c)_{L+R}xSU(N_f-N_c)_LXSU(N_f-N_c)_R as a nonabelian chiral symmetry. The anomaly-matching is ensured by the presence of Nambu-Goldstone superfields associated with this breaking and the instanton contributions are properly equipped in the effective superpotential.