| Issue |
EAS Publications Series
Volume 30, 2008
Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology
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|
|---|---|---|
| Page(s) | 253 - 256 | |
| DOI | https://doi.org/10.1051/eas:0830038 | |
| Published online | 30 September 2008 | |
A. Oscoz, E. Mediavilla and M. Serra-Ricart (eds)
EAS Publications Series, 30 (2008) 253-256
Dirac-type operators on curved spaces admitting Killing-Yano tensors
Department of Theoretical Physics,
National Institute for Physics and Nuclear Engineering,
PO Box M.G.-6, Magurele, Bucharest, Romania
Corresponding author: mvisin@theory.nipne.ro
We attempt to point out the relation between Killing-Yano tensors and non-standard supersymmetries. The Killing-Yano tensors play an important role in the Dirac theory on curved spaces where they produce Dirac-type operators. The Euclidean Taub-NUT space is taken to illustrate some of the aspects of the general discussion about the connection between spacetime higher order geometrical symmetries and supersymmetries. The dynamical symmetry of this space leads in a natural way to an infinite dimensional twisted loop superalgebra of the conserved operators.
© EAS, EDP Sciences, 2008