BPS Domain Walls in Supersymmetric QCD: Higher Unitary Groups

TL;DR

This paper analyzes BPS domain walls in supersymmetric QCD with higher unitary gauge groups, revealing conditions for their existence and the nature of solutions depending on matter field mass.

Contribution

It provides explicit solutions to BPS equations for domain walls in SU(N_c) SQCD with N_f = N_c - 1, including the critical mass where solutions merge or cease to exist.

Findings

Unique solutions for walls between symmetric and asymmetric vacua.

Two solutions for walls between asymmetric vacua below a critical mass.

Existence of a critical mass m* beyond which BPS walls do not exist.

Abstract

We consider the N=1 supersymmetric QCD with SU(N_c) gauge group involving N_f = N_c - 1 pairs of chiral matter multiplets in fundamental and antifundamental color representations. For this theory in the framework of the effective lagrangian approach, we solve the BPS equations for the domain walls interpolating between different vacua. The equations always have a unique solution for the walls interpolating between the chirally symmetric and a chirally asymmetric vacua. For the walls interpolating between different chirally asymmetric vacua, the equations admit two different solutions which exist when the mass of the matter field is below some critical value m*. At m = m*, two branches join together and, at m > m*, no BPS - saturated complex domain walls exist.