Anomaly Constraints on Monopoles and Dyons

TL;DR

This paper derives anomaly conditions for monopoles and dyons, extending theoretical frameworks and identifying new gauge anomaly cancelation conditions in theories with electric and magnetic charges.

Contribution

It introduces eight new gauge anomaly cancelation conditions and extends the Zwanziger formalism to include the theta parameter.

Findings

Derived axial and gauge anomalies for monopoles and dyons.

Identified eight new gauge anomaly cancelation conditions.

Extended Zwanziger formalism to include theta parameter.

Abstract

Fermions with magnetic charges can contribute to anomalies. We derive the axial anomaly and gauge anomalies for monopoles and dyons, and find eight new gauge anomaly cancelation conditions in a general theory with both electric and magnetic charges. As a byproduct we also extend the Zwanziger two-potential formalism to include the theta parameter, and elaborate on the condition for CP invariance in theories with fermionic dyons.