Standard model anomalies in curved space-time with torsion

Abstract

Using the Fujikawa and the heat-kernel methods we make a complete and detailed computation of the global, gauge, and gravitational anomalies in the standard model defined on a curved space-time with torsion. We find new contributions coming from the curvature and the torsion to the leptonic number anomaly (so that B-L is not conserved anymore) to the U(1)(Y) gauge and to the mixed U(1)(Y)-gravitational anomalies. However, neither gauge nor gravitational new anomaly cancellation conditions for the hypercharges arise.