The Coulomb branch of N=1 supersymmetric SU(N_c) x SU(N_c) gauge theories

TL;DR

This paper investigates the low energy dynamics of N=1 supersymmetric SU(N_c) x SU(N_c) gauge theories with a superpotential, deriving a hyperelliptic curve to parametrize the Coulomb branch using duality and quantum constraints.

Contribution

It introduces a hyperelliptic curve description for the Coulomb branch of these theories, extending Seiberg duality methods to this class of models.

Findings

Parametrization of the Coulomb branch via a hyperelliptic curve

Application of Seiberg duality to derive low energy behavior

Incorporation of classical and quantum constraints for different flavor numbers

Abstract

We analyze the low energy behavior of N=1 supersymmetric gauge theories with SU(N_c) x SU(N_c) gauge group and a Landau-Ginzburg type superpotential. These theories contain fundamentals transforming under one of the gauge groups as well as bifundamental matter which transforms as a fundamentals under each. We obtain the parametrization of the gauge coupling on the Coulomb branch in terms of a hyperelliptic curve. The derivation of this curve involves making use of Seiberg's duality for SQCD as well as the classical constraints for N_f=N_c+1 and the quantum modified constraints for N_f=N_c.