  Recent developments in string theory suggest that cosmic strings could be
formed at the end of brane inflation. Supergravity provides a realistic model
to study the properties of strings arising in brane inflation. Whilst the
properties of cosmic strings in flat space-time have been extensively studied
there are significant complications in the presence of gravity. We study the
effects of gravitation on cosmic strings arising in supergravity. Fermion zero
modes are a common feature of cosmic strings, and generically occur in
supersymmetric models. The corresponding massless currents can give rise to
stable string loops (vortons). The vorton density in our universe is strongly
constrained, allowing many theories with cosmic strings to be ruled out. We
investigate the existence of fermion zero modes on cosmic strings in
supergravity theories. A general index theorem for the number of zero modes is
derived. We show that by including the gravitino, some (but not all) zero modes
disappear. This weakens the constraints on cosmic string models. In particular,
winding number one cosmic D-strings in models of brane inflation are not
subject to vorton constraints. We also discuss the effects of supersymmetry
breaking on cosmic D-strings.
