Chiral anomaly for V-A fields in four- and six-dimensional curved space

TL;DR

This paper derives tensorial expressions for chiral U(1) anomalies involving fermions with vector and axial-vector interactions in four- and six-dimensional curved spaces.

Contribution

It provides a unified tensorial formulation of chiral anomalies in higher-dimensional curved spacetimes for fermions interacting with nonabelian gauge fields.

Findings

Explicit tensorial formulas for anomalies in 4D and 6D.

Extension of anomaly expressions to curved spacetime.

Framework applicable to nonabelian gauge interactions.

Abstract

The chiral U(1) anomalies associated with a fermion of spin 1/2 interacting with nonabelian vector and axial-vector fields in four- and six-dimensional curved space are given in tensorial form.