Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theories without Magnetic Degrees of Freedom

TL;DR

This paper investigates strongly coupled supersymmetric SO(N_c) gauge theories, revealing flavor symmetry breaking and proposing effective superpotentials that incorporate baryonic configurations, with results consistent with instanton effects and decoupling properties.

Contribution

It introduces new effective superpotentials for SO(N_c) theories that include baryonic states and confirms their consistency with known nonperturbative effects.

Findings

Flavor symmetry breaking confirmed by instanton effects.

Effective superpotentials incorporate baryons and mesons.

Superpotentials exhibit decoupling and anomaly-matching properties.

Abstract

In strongly coupled supersymmetric SO(N_c) gauge theories with N_f-quarks for N_c-2<=N_f(<=3(N_c-2)/2), their low-energy physics can be described by Nambu-Goldstone superfields associated with dynamical flavor symmetry breaking, which should be compared with the absence of flavor symmetry breaking in the conventional description in terms of magnetic degrees of freedom. The presence of the flavor symmetry breaking is confirmed by the well-known instanton effects in SO(N_c) with N_f=N_c-2, which are also described by our proposed effective superpotential. For N_f>=N_c-1, our effective superpotentials utilize baryonic configurations as well as mesons composed of two quarks. The baryonic configurations are supplied by "diquarks" made of N_c-1 quarks for N_f=N_c-1 and by baryons composed of N_c quarks for N_c>=N_f. It is argued that our effective superpotentials exhibit the holomorphic decoupling property, the anomaly-matching property and correct description of instanton effects in SO(N_c) when N_f-N_c+2 quarks become massive if N_f>=N_c-1.