A GREEN-SCHWARZ MECHANISM FOR D = 4, N = 1 SUPERGRAVITY ANOMALIES

A method is presented for cancelling the superconformal-Weyl-U(1) anomaly in four-dimensional N = 1 supergravity theories coupled to matter. This method is explicitly demonstrated for both the new minimal and old minimal formulations of supergravity. An anomaly in Kahler transformations is shown to exist in such theories and we present a mechanism for rendering these theories quantum Kahler invariant. Finally, the relationship to duality invariance in low-energy effective superstring theory is discussed.