CP-violating supersymmetry anomaly

TL;DR

This paper demonstrates that CP-violating Weyl anomalies lead to supersymmetry anomalies in superconformal supergravity, which can be resolved by adding specific counterterms, resulting in a consistent theory.

Contribution

It reveals the connection between CP-violating anomalies and supersymmetry anomalies and shows how to restore consistency in supergravity models.

Findings

CP-violating Weyl anomalies induce supersymmetry anomalies

Adding local counterterms removes the supersymmetry anomaly

The resulting theory is consistent and well-defined

Abstract

We show that CP-violating Weyl anomaly induces a supersymmetry anomaly in the formulation of superconformal supergravity as is observed in CP-preserving cases. This supersymmetry anomaly can be removed in the old minimal supergravity by adding suitable local counterterms, and it becomes a consistent theory.