Geodesic
Dirac-Type Operators on Curved Spaces and the Role of Killing--Yano Tensors
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 199-208

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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, hidden symmetries.
Mots-clés : Taub–NUT space 
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     author = {M. Visinescu},
     title = {Dirac-Type {Operators} on {Curved} {Spaces} and the {Role} of {Killing--Yano} {Tensors}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {199--208},
     publisher = {mathdoc},
     volume = {144},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a20/}
}
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M. Visinescu. Dirac-Type Operators on Curved Spaces and the Role of Killing--Yano Tensors. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 199-208. http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a20/