Solitons in Supersymmety Breaking Meta-Stable Vacua

TL;DR

This paper investigates the existence and properties of solitons in supersymmetry-breaking meta-stable vacua of supersymmetric QCD, revealing the presence of vortex strings under certain gauge groups and symmetries.

Contribution

It provides the first analysis of solitons in these vacua, including explicit solutions and the role of gauge groups and symmetries in their stability.

Findings

No nontrivial solitons for SU(N_c) gauge group.

Existence of non-BPS vortex strings when U(1)_B is gauged.

Solitonic strings for SO(N_c) with specific N values.

Abstract

In recently found supersymmetry-breaking meta-stable vacua of the supersymmetric QCD, we examine possible exsitence of solitons. Homotopy groups of the moduli space of the meta-stable vacua show that there is no nontrivial soliton for SU(N_c) gauge group. When U(1)_B symmetry present in the theory is gauged, we find non-BPS solitonic (vortex) strings whose existence and properties are predicted from brane configurations. We obtain explicit classical solutions which reproduce the predicitions. For SO(N_c) gauge group, we find there are solitonic strings for N = N_f-N_c+4 = 2, and Z_2 strings for the other N. The strings are meta-stable as they live in the meta-stable vacua.