Chiral cosmic strings are produced naturally at the end of inflation in sup
ersymmetric models where the symmetry is broken via a D term. Consequently
in such theories, where both inflation and cosmic strings contribute to the
density and CMBR (microwave background) perturbations, it is necessary to
understand the evolution of chiral cosmic string networks. We study the dyn
amics of chiral cosmic strings in Minkowski space and comment on a number o
f differences with those of Nambu-Goto strings. To do this we follow the wo
rk of Carter and Peter who showed that the equations of motion for chiral c
osmic strings reduce to a wave equation and two constraints, only one of wh
ich is different from the familiar Nambu-Goto constraints. We study chiral
string loop solutions consisting of many harmonics and determine their self
-intersection probabilities, and comment on the possible cosmological signi
ficance of these results.