Generalized Chern-Simons Terms and Chiral Anomalies in N=1 Supersymmetry

TL;DR

This paper explores how generalized Chern-Simons terms and the Green-Schwarz mechanism can be integrated into N=1 supersymmetric theories, providing constraints on anomalies relevant for string compactifications and exotic Z'-bosons.

Contribution

It demonstrates the compatibility of these anomaly cancellation mechanisms with N=1 supersymmetry and identifies key consistency conditions constraining gauge anomalies.

Findings

Two simple consistency conditions encode strong anomaly constraints.

Compatibility of Chern-Simons terms with supersymmetry is established.

Implications for string compactifications and Z'-boson phenomenology.

Abstract

The gauging of axionic, Stueckelberg-type, shift symmetries with generalized Chern-Simons terms and the Green-Schwarz mechanism of anomaly cancellation has recently been studied in the context of certain string compactifications and with regard to the phenomenology of unusual variants of Z'-bosons. In this talk, following recent work with De Rydt, Rosseel, Schmidt and Van Proeyen, I summarize how such theories can be reconciled with global and local N=1 supersymmetry. Two simple consistency conditions are shown to encode strong constraints on the allowed anomalies for different types of gauge groups.