Symplectic structure of N=1 supergravity with anomalies and Chern-Simons terms

Understand

The general actions of matter-coupled N=1 supergravity have Peccei-Quinn terms that may violate gauge and supersymmetry invariance.

• In addition, N=1 supergravity with vector multiplets may also contain generalized Chern-Simons terms.
• These have often been neglected in the literature despite their importance for gauge and supersymmetry invariance.
• We clarify the interplay of Peccei-Quinn terms, generalized Chern-Simons terms and quantum anomalies in the context of N=1 supergravity and exhibit conditions that have to be satisfied for their mutual consistency.