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Hidden symmetries and Killing tensors on curved spaces by Ianus, Stere; Visinescu, Mihai; Vilcu, Gabriel-Eduard is a scholarly article available to read on EtoBox.

What is Hidden symmetries and Killing tensors on curved spaces about?

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.

Author

Ianus, Stere; Visinescu, Mihai; Vilcu, Gabriel-Eduard

Published

2008

Language

EN