Supersymmetries and Constants of Motion in Taub-nut Spinning Space
نویسندگان
چکیده
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 KillingYano tensors. The general results are applied to the case of the fourdimensional Euclidean Taub-NUT spinning space. A simple exact solution, corresponding to trajectories lying on a cone, is given.. PACS number(s): 04.20.Jb, 02.40.-K Present address: Dept. of Physics, SUNY at Stony Brook NY 11794, USA; E-mail:[email protected] E-mail: [email protected]
منابع مشابه
Supersymmetry and the Geometry of Taub-NUT
The supersymmetric extension of Taub-NUT space admits 4 standard supersymmetries plus several additional non-standard ones. The geometrical origin of these symmetries is traced, and their algebraic structure is clarified. The result has applications to fermion modes in gravitational instantons as well as in long-range monopole dynamics. The low-energy dynamics of spinning particles in a curved ...
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