The generalized Killing equations for the configuration space of spinning particles (spinning space) are analysed. Solutions of these equations are expressed in terms of Killing-Yano tensors. The constants of motion can be seen as extensions of those from the scalar case or new ones depending on the Grassmann-valued spin variables. The general results are applied to the case of the four-dimensional Euclidean Taub-NUT spinning space.
Nuclear Physics B Proceedings Supplements
- Pub Date:
- July 1997
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- LaTeX, 6 pages, Talk given at the International Symposium on the Theory of Elementary Particles, Buckow 1996