SUPERSYMMETRIC CALCULATION OF MIXED KAHLER-GAUGE AND MIXED KAHLER-LORENTZ ANOMALIES

We present a manifestly supersymmetric procedure for calculating the contributions from matter loops to the mixed Kahler-gauge and to the mixed Kahler-Lorentz anomalies in N = 1,D = 4 supergravity-matter systems. We show how this procedure leads to the well-known result for the mixed Kahler-gauge anomaly. For general supergravity-matter systems the mixed Kahler-Lorentz anomaly is found to contain a term proportional to R2 With a background field dependent coefficient as well as terms proportional to (C(mnpq))2 and to the Gauss-Bonnet topological density. We briefly comment on the relationship between the mixed Kahler-Lorentz anomaly and the moduli dependent threshold corrections to gravitational couplings in Z(N) orbifolds.