Runge-Lenz operator for Dirac field in Taub-NUT background

Details Runge-Lenz operator for Dirac field in Taub-NUT background Runge-Lenz operator for Dirac field in Taub-NUT background

2001-01-25

arxiv.org/abs/hep-th/0101163v2

Phys.Lett. B502 (2001) 229-234

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, no figures. Version to appear in Phys.Lett.B

Scientific paper

10.1016/S0370-2693(01)00184-8

Fermions in D=4 self-dual Euclidean Taub-NUT space are investigated. Dirac-type operators involving Killing-Yano tensors of the Taub-NUT geometry are explicitly given showing that they anticommute with the standard Dirac operator and commute with the Hamiltonian as it is expected. They are connected with the hidden symmetries of the space allowing the construction of a conserved vector operator analogous to the Runge-Lenz vector of the Kepler problem. This operator is written down pointing out its algebraic properties.

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