Dirac-Type Operators on Curved Spaces and the Role of Killing-Yano Tensors

Author: Visinescu M.  

Publisher: Springer Publishing Company

ISSN: 0040-5779

Source: Theoretical and Mathematical Physics, Vol.144, Iss.1, 2005-07, pp. : 1054-1062

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Abstract

We consider the Dirac equation in curved backgrounds and investigate the role of Killing-Yano tensors in constructing Dirac-type operators. The general results are applied to the case of the four-dimensional Euclidean Taub-NUT space. We investigate the gravitational anomalies for generalized Euclidean Taub-NUT metrics that admit hidden symmetries analogous to the Runge-Lenz vector of the Kepler-type problem.