Algebraic characterization of gauge anomalies on a nontrivial bundle

TL;DR

This paper presents an algebraic method to analyze gauge anomalies and Chern--Simons terms on nontrivial bundles by extending the decomposition of the exterior derivative as a BRST commutator.

Contribution

It introduces an algebraic approach to solving descent equations for gauge anomalies on nontrivial bundles, extending previous methods.

Findings

Provides a systematic algebraic framework for gauge anomaly analysis.

Extends the decomposition of the exterior derivative as a BRST commutator.

Facilitates the study of anomalies on complex bundle structures.

Abstract

We discuss the algebraic way of solving the descent equations corresponding to the BRST consistency condition for the gauge anomalies and the Chern--Simons terms on a nontrivial bundle. The method of decomposing the exterior derivative as a BRST commutator is extended to the present case.