Cohomology and Topological Anomalies

TL;DR

This paper explores the relationship between the chiral anomaly's descriptions on gauge potential space and orbit space, linking it to the cohomology of gauge transformation groups.

Contribution

It clarifies the connection between different mathematical frameworks used to describe the chiral anomaly and relates it to gauge transformation cohomology.

Findings

Established the relation between gauge potential and orbit space descriptions.

Connected chiral anomaly to cohomology of gauge transformation groups.

Provided insights into topological aspects of anomalies.

Abstract

The chiral anomaly can be considered as an object defined either on the space of gauge potentials or on the orbit space. We will discuss the relation between the two descriptions. We will also relate to the cohomology of the group of gauge transformations.