Hidden symmetries and Killing tensors on curved spaces
Abstract
Higher order symmetries corresponding to Killing tensors are investigated. The intimate relation between Killing-Yano tensors and non-standard supersymmetries is pointed out. In the Dirac theory on curved spaces, Killing-Yano tensors generate Dirac type operators involved in interesting algebraic structures as dynamical algebras or even infinite dimensional algebras or superalgebras. The general results are applied to space-times which appear in modern studies. One presents the infinite dimensional superalgebra of Dirac type operators on the 4-dimensional Euclidean Taub-NUT space that can be seen as a twisted loop algebra. The existence of the conformal Killing-Yano tensors is investigated for some spaces with mixed Sasakian structures.
Keywords
Cite
@article{arxiv.0811.3478,
title = {Hidden symmetries and Killing tensors on curved spaces},
author = {Stere Ianus and Mihai Visinescu and Gabriel-Eduard Vilcu},
journal= {arXiv preprint arXiv:0811.3478},
year = {2010}
}
Comments
12 pages; talk presented at Group 27 Colloquium, Yerevan, Armenia, August 2008