Topologically Stable Electroweak Flux Tube

Abstract

We show that for a large range of parameters in a $SU(2{)}_L\times U(1)$ electroweak theory with two Higgs doublets there may exist classically stable flux tubes of Z boson magnetic field. In a limit of an extra global $\tilde{U}(1)$ symmetry, these flux-tubes become topologically stable. These results are automatically valid even if $\tilde{U}(1)$ is gauged.

Comments: 10 pages, LATEX