ANOMALY CANDIDATES AND INVARIANTS OF D=4, N=1 SUPERGRAVITY THEORIES

Anomaly candidates and the form of the most general invariant local action are given for old and new minimal supergravity, including the cases that Yang-Mills and chiral matter multiplets are present. Non-minimal supergravity is also discussed. The results are obtained using BRS techniques by solving the descent equations which contain the consistency equation satisfied by integrands of anomalies and invariant actions. Among the anomaly candidates found there are locally supersymmetric extensions of the well known chiral anomalies as well as previously unknown anomaly candidates.