Generalized Killing equations for spinning spaces and the role of KillingYano Tensors
Abstract
The generalized Killing equations for the configuration space of spinning particles (spinning space) are analysed. Solutions of these equations are expressed in terms of KillingYano tensors. The constants of motion can be seen as extensions of those from the scalar case or new ones depending on the Grassmannvalued spin variables. The general results are applied to the case of the fourdimensional Euclidean TaubNUT spinning space.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 July 1997
 DOI:
 10.1016/S09205632(97)003198
 arXiv:
 arXiv:hepth/9610097
 Bibcode:
 1997NuPhS..56..142V
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 LaTeX, 6 pages, Talk given at the International Symposium on the Theory of Elementary Particles, Buckow 1996