Stability of non-topological string in supersymmetric $SU(2)\times U(1)$ gauge theory

TL;DR

This paper constructs a supersymmetric non-topological string in an $SU(2) imes U(1)$ gauge theory, analyzing its classical stability and showing it depends on two parameters, similar to electroweak strings.

Contribution

It introduces a supersymmetric extension of the electroweak string with unbroken supersymmetry and analyzes its classical stability properties.

Findings

Classical stability depends on two key parameters.

Allowed stability region matches that of electroweak strings.

Constructs a non-topological string solution in supersymmetric gauge theory.

Abstract

We construct a non-topological string solution for a supersymmetric gauge theory with $SU(2)\times U(1)$ gauge symmetry which is spontaneously broken to $U(1)$ by developing the vacuum expectation value of two doublet Higgses. It is a supersymmetric extension of the electroweak string while supersymmetry is unbroken. We discuss the classical stability of the non-topological string by perturbations. We show that the classical stability are determined only by two parameters, and that the allowed region becomes essentially the same as in the electroweak string.