paper

Supersymmetries and constants of motion in Taub-NUT spinning space

arXiv:hep-th/9805116 · doi:10.1002/(SICI)1521-3978(199906)47:5<493::AID-PROP493>3.0.CO;2-M

Abstract

We review the geodesic motion of pseudo-classical spinning particles in curved spaces. Investigating the generalized Killing equations for spinning spaces, we express the constants of motion in terms of Killing-Yano tensors. The general results are applied to the case of the four-dimensional Euclidean Taub-NUT spinning space. A simple exact solution, corresponding to trajectories lying on a cone, is given.

arXiv comment33 pages, LaTeX2e, to appear in Fortschritte der Physik

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