  We investigate the microphysics of supersymmetric cosmic strings. In
particular we focus on the vortices admitted by N=1 supersymmetric abelian
Higgs models. We find the vortex solutions and demonstrate that the two
simplest supersymmetric cosmic string models admit fermionic superconductivity.
Further, by using supersymmetry transformations, we show how to solve for the
fermion zero modes giving rise to string superconductivity in terms of the
background string fields.
