$L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics

Abstract

We compute the axial anomaly for the Taub-NUT metric on $R^4$. We show that the axial anomaly for the generalized Taub-NUT metrics introduced by Iwai and Katayama is finite, although the Dirac operator is not Fredholm. We show that the essential spectrum of the Dirac operator is the whole real line.

arXiv comment8 pages, LaTeX, no figures, submitted to the Proceedings of the Workshop QFEXT'05, Barcelona, Spain

References in corpus (3)

• Spinning particles in Taub-NUT space
• Generalized Taub-NUT metrics and Killing-Yano tensors
• Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics

Cited by in corpus (5)

• On Black Hole Effective Potential in 6D/7D N=2 Supergravity
• Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies
• Transverse Killing and twistor spinors associated to the basic Dirac operators
• Cauchy spinors on $3$-manifolds
• The Dirac operator on generalized Taub-NUT spaces