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

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作者
M. Visinescu
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[1] National Institute for Physics and Nuclear Engineering,
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Dirac operator; Killing-Yano tensors; Taub-NUT space; hidden symmetries;
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摘要
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.
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页码:1054 / 1062
页数:8
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