Stability of nontopological string in supersymmetric SU(2)×U(1) gauge theory

Abstract

We construct a nontopological string solution for a supersymmetric gauge theory with [Formula: see text] gauge symmetry which is spontaneously broken to [Formula: see text] 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 nontopological string by perturbations. We show that the classical stability is determined only by two parameters, and that the allowed region becomes essentially the same as in the electroweak string.