Generalized Killing equations for spinning spaces and the role of Killing-Yano 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 Killing-Yano tensors. In general 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.

LaTeX, 6 pages, Talk given at the International Symposium on the Theory of Elementary Particles, Buckow 1996

References in corpus (5)

• SUSY in the sky
• Supersymmetry and the Geometry of Taub-NUT
• The role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold
• Generalized Runge-Lenz Vector in Taub-Nut Spinning Space
• The Geodesic Motion in Taub-Nut Spinning Space

Cited by in corpus (1)

• f-symbols, Killing tensors and conserved Bel-type currents