Supersymmetries and constants of motion in Taub-NUT spinning space

Details Supersymmetries and constants of motion in Taub-NUT spinning space Supersymmetries and constants of motion in Taub-NUT spinning space

1998-05-19

arxiv.org/abs/hep-th/9805116v1

Fortsch.Phys. 47 (1999) 493-514

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, LaTeX2e, to appear in Fortschritte der Physik

Scientific paper

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.

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