Solitons in Supersymmety Breaking Meta-Stable Vacua

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(Nc) 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(Nc) gauge group, we find there are solitonic strings for N = Nf-Nc+4 = 2, and Z2 strings for the other N. The strings are meta-stable as they live in the meta-stable vacua.

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