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Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics

Ion I. Cotăescu, Sergiu Moroianu, Mihai Visinescu

math-pharXiv:math-ph/0411047

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.

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