Consistent gravitational anomalies for chiral bosons

TL;DR

This paper investigates gravitational anomalies in two-dimensional chiral bosons using two different methods, providing a consistent and unified approach to understanding their diffeomorphism properties.

Contribution

It introduces a cohomological method alongside Schwinger-DeWitt regularization to analyze gravitational anomalies in chiral bosons, ensuring consistency.

Findings

Both methods yield consistent anomalies

A single ghost describes diffeomorphism transformations

Unified cohomological approach clarifies anomaly structure

Abstract

Exact consistent gravitational anomalies for chiral bosons in two dimensions are treated both with the Schwinger-DeWitt regularization and independently through a cohomological procedure. The diffeomorphism transformations are described by a single ghost which allows to climb the cohomological chain in a unique way.