GRAVITINO ZERO MODES ON U(1)(R) STRINGS

We consider theories with a spontaneously broken gauged R symmetry, wh ich can only occur in supergravity models. These give rise to cosmic R strings upon which gravitino zero modes can exist, We construct solut ions to the Rarita-Schwinger spin-3/2 equation describing the gravitin o in the field of these cosmic strings and show that under some condit ions these solutions may give rise to gravitino currents on the suing. We discuss further mathematical and physical questions associated wit h these solutions.