  In supersymmetric theories, topological defects can have nontrivial behaviors
determined purely by whether or not supersymmetry is restored in the defect
core. A well-known example of this is that some supersymmetric cosmic strings
are automatically superconducting, leading to important cosmological effects
and constraints. We investigate the impact of nontrivial kinetic interactions,
present in a number of particle physics models of interest in cosmology, on the
relationship between supersymmetry and supercurrents on strings. We find that
in some cases it is possible for superconductivity to be disrupted by the extra
interactions.
