(Non-)Abelian discrete anomalies

TL;DR

This paper derives anomaly constraints for Abelian and non-Abelian discrete symmetries using path integral methods and explores their implications in heterotic orbifolds, revealing a new relation with anomalous U(1) symmetries.

Contribution

It introduces a novel approach to deriving anomaly constraints for discrete symmetries and uncovers a new relation between discrete anomalies and anomalous U(1) symmetries in heterotic orbifolds.

Findings

Derived anomaly constraints for discrete symmetries.

Identified a new relation between discrete anomalies and anomalous U(1).

Surveyed anomalies in heterotic orbifold models.

Abstract

We derive anomaly constraints for Abelian and non-Abelian discrete symmetries using the path integral approach. We survey anomalies of discrete symmetries in heterotic orbifolds and find a new relation between such anomalies and the so-called `anomalous' U(1).