BPS and non-BPS Domain Walls in Supersymmetric QCD with SU(3) Gauge Group

TL;DR

This paper analyzes the spectrum of domain walls in supersymmetric QCD with an SU(3) gauge group, revealing how solutions change with varying matter mass and identifying BPS and non-BPS solutions.

Contribution

It provides a detailed study of BPS and non-BPS domain wall solutions in supersymmetric QCD with SU(3), including their existence and behavior across different mass regimes.

Findings

Two BPS-saturated domain wall solutions exist for small masses.

BPS solutions merge at a critical mass m* and cease to exist beyond m**.

Non-BPS solutions appear where BPS solutions vanish.

Abstract

We study the spectrum of the domain walls interpolating between different chirally asymmetric vacua in supersymmetric QCD with the SU(3) gauge group and including 2 pairs of chiral matter multiplets in fundamental and anti-fundamental representations. For small enough masses m < m* = .286... (in the units of \Lambda), there are two different domain wall solutions which are BPS-saturated and two types of ``wallsome sphalerons''. At m = m*, two BPS branches join together and, in the interval m* < m < m** = 3.704..., BPS equations have no solutions but there are solutions to the equations of motion describing a non-BPS domain wall and a sphaleron. For m > m**, there are no solutions whatsoever.