We investigate the standard model in a cosmic string background and show that
the electroweak symmetry is partially restored. For a range of parameters the
electroweak Higgs field can wind in this region, producing an electroweak
string stabilised by the cosmic string background. In this case there are quark
and lepton zero modes that result in the string becoming superconducting at the
electroweak scale. If the electroweak Higgs field does not wind, there are no
zero modes, but there are fermion bound states. These bound states can also
carry a current.Comment: 8 pages, TeX, 5 postscript figure