Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics

TL;DR

This paper investigates gravitational and axial anomalies in generalized Euclidean Taub-NUT metrics, focusing on hidden symmetries, Dirac operator index calculations, and the role of Killing-Yano tensors in quantum anomalies.

Contribution

It provides a detailed analysis of gravitational and axial anomalies in generalized Euclidean Taub-NUT metrics, highlighting the role of hidden symmetries and Killing-Yano tensors.

Findings

Gravitational anomalies are characterized for these metrics.

The index of the Dirac operator with APS boundary conditions is computed.

Killing-Yano tensors influence the quantum anomalies studied.

Abstract

The gravitational anomalies are investigated for generalized Euclidean Taub-NUT metrics which admit hidden symmetries analogous to the Runge-Lenz vector of the Kepler-type problem. In order to evaluate the axial anomalies, the index of the Dirac operator for these metrics with the APS boundary condition is computed. The role of the Killing-Yano tensors is discussed for these two types of quantum anomalies.