Anomaly Structure of Supergravity and Anomaly Cancellation

TL;DR

This paper details the complete anomaly structure of supergravity, including new contributions, and discusses how to implement anomaly cancellation mechanisms relevant for string theory-derived models.

Contribution

It provides a comprehensive anomaly expression for supergravity with new D-term contributions and outlines a procedure for anomaly cancellation.

Findings

Full anomaly structure including D-term contributions

Super-Weyl and chiral U(1)_K transformation properties established

Implications for anomaly cancellation in string-derived supergravity

Abstract

We display the full anomaly structure of supergravity, including new D-term contributions to the conformal anomaly. This expression has the super-Weyl and chiral U(1)_K transformation properties that are required for implementation of the Green-Schwarz mechanism for anomaly cancellation. We outline the procedure for full anomaly cancellation. Our results have implications for effective supergravity theories from the weakly coupled heterotic string theory.