Superconducting electroweak strings

Classical solutions describing strings endowed with an electric charge and carrying a constant electromagnetic current are constructed within the bosonic sector of the electroweak theory. For any given ratio of the Higgs boson mass to W boson mass and for any Weinberg's angle, these strings comprise a family that can be parameterized by values of the current through their cross section, I3, by their electric charge per unit string length, I0, and by two integers. These parameters determine the electromagnetic and Z fluxes, as well as the angular momentum and momentum densities of the string. For I0→0 and I3→0 the solutions reduce to Z strings, or, for solutions with I0=±I3, to the W-dressed Z strings whose existence was discussed some time ago.