Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics

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.

23 pages

References in corpus (2)

• Symmetries and supersymmetries of the Dirac operators in curved spacetimes
• The induced representation of the isometry group of the Euclidean Taub-NUT space and new spherical harmonics

Cited by in corpus (6)

• Axial anomalies of Lifshitz fermions
• Higher order first integrals of motion in a gauge covariant Hamiltonian framework
• Singular General Relativity
• $L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics
• The Dirac operator on generalized Taub-NUT spaces
• f-symbols, Killing tensors and conserved Bel-type currents