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

Jan De Rydt*, Jan Rosseel, Torsten T. Schmidt, Antoine Van Proeyen, Marco Zagermann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


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. This extension of the previously known N = 1 matter-coupled supergravity actions follows naturally from the embedding of the gauge group into the group of symplectic duality transformations. Our results regarding this extension provide the supersymmetric framework for studies of string compactifications with axionic shift symmetries, generalized Chern-Simons terms and quantum anomalies.

Original languageEnglish
Pages (from-to)5201-5220
Number of pages20
JournalClassical and Quantum Gravity
Issue number20
Publication statusPublished - 21 Oct 2007
Externally publishedYes


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