Flavor Symmetry Breaking in Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theory with N_f=N_c-2

TL;DR

This paper investigates flavor symmetry breaking in a strongly coupled N=1 supersymmetric SO(N_c) gauge theory with N_f=N_c-2, proposing an effective superpotential that captures the dynamical symmetry breaking and low-energy phenomena.

Contribution

It introduces a novel effective superpotential based on electric quarks and gluons to describe flavor symmetry breaking in the specified gauge theory.

Findings

Instanton effects signal flavor symmetry breaking from SU(N_f) to SO(N_f)

The superpotential correctly reproduces anomaly matching and decoupling properties

Low-energy spectrum includes Nambu-Goldstone superfields associated with symmetry breaking

Abstract

In the SO(N_c) gauge theory with N_f quarks for N_f=N_c-2, its instanton effects indicate the signal of dynamical flavor symmetry breakdown of SU(N_f) to SO(N_f), which is not described by the conventional "magnetic" degree's of freedom. It is argued that this breaking is well described by our effective superpotential consisting of "electric" quarks and gluons instead of monopoles of SO(N_c). The low-energy particles include the Nambu-Goldstone superfields associated with this breakdown. The proposed superpotential is found to exhibit the holomorphic decoupling property and the anomaly-matching property on a residual chiral U(1) symmetry.