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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 199–208
DOI: https://doi.org/10.4213/tmf1846 (Mi tmf1846) 		 
Dirac-Type Operators on Curved Spaces and the Role of Killing–Yano Tensors

M. Visinescu

National Institute for Physics and Nuclear Engineering
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DOI: https://doi.org/10.4213/tmf1846
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.
Keywords: Dirac operator, Killing–Yano tensors, Taub–NUT space, hidden symmetries.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 1054–1062
DOI: https://doi.org/10.1007/s11232-005-0134-6
Bibliographic databases:
Language: Russian
Citation: M. Visinescu, “Dirac-Type Operators on Curved Spaces and the Role of Killing–Yano Tensors”, TMF, 144:1 (2005), 199–208; Theoret. and Math. Phys., 144:1 (2005), 1054–1062
Citation in format AMSBIB
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