A survey is made of the known Becchi-Rouet-Stora (BRS) cohomology and potential anomalies in ‘‘nonrenormalizable’’ effective gauge theories with and without supersymmetry. The probable existence of higher-dimension Abelian anomalies is mentioned. Supersymmetric theories have complicated BRS cohomology, but at least for N=1 and D=4, it appears that this does not give rise to corresponding anomalies so long as the gauge anomalies are eliminated.

• Received 23 April 1991

DOI:https://doi.org/10.1103/PhysRevLett.67.797