Spinning Particles in Taub-nut Space
نویسندگان
چکیده
The geodesic motion of pseudo-classical spinning particles in Euclidean Taub-NUT space is analysed. The constants of motion are expressed in terms of Killing-Yano tensors. Some previous results from the literature are corrected. PACS number(s): 04.20.Jb, 02.40.-K The con guration space of spinning particles (spinning space) is an supersymmetric extension of an ordinary Riemannian manifold, parametrized by local coordinates fx g, to a graded manifold parametrized by local coordinates fx ; g, with the rst set of variables being Grassmann even (commuting) and the second set, Grassmann odd (anticommuting). The equation of motion of a spinning particle on a geodesic is derived from the action:
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