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 nonstandard 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 3-Sasakian structures.
- Authors:
-
- University of Bucharest, Department of Mathematics (Romania)
- Institute for Physics and Nuclear Engineering, Department of Theoretical Physics (Romania)
- Petroleum-Gas University of Ploiesti, Department of Mathematics and Computer Science (Romania)
- Publication Date:
- OSTI Identifier:
- 21426647
- Resource Type:
- Journal Article
- Journal Name:
- Physics of Atomic Nuclei
- Additional Journal Information:
- Journal Volume: 73; Journal Issue: 11; Other Information: DOI: 10.1134/S1063778810110141; Copyright (c) 2010 Pleiades Publishing, Ltd.; Journal ID: ISSN 1063-7788
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; CURVILINEAR COORDINATES; DIRAC EQUATION; EUCLIDEAN SPACE; FOUR-DIMENSIONAL CALCULATIONS; SPACE-TIME; SUPERSYMMETRY; TENSORS; COORDINATES; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MATHEMATICAL SPACE; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; RIEMANN SPACE; SPACE; SYMMETRY; WAVE EQUATIONS
Citation Formats
Ianus, S, Visinescu, M, and Vilcu, G E. Hidden symmetries and killing tensors on curved spaces. United States: N. p., 2010.
Web. doi:10.1134/S1063778810110141.
Ianus, S, Visinescu, M, & Vilcu, G E. Hidden symmetries and killing tensors on curved spaces. United States. https://doi.org/10.1134/S1063778810110141
Ianus, S, Visinescu, M, and Vilcu, G E. 2010.
"Hidden symmetries and killing tensors on curved spaces". United States. https://doi.org/10.1134/S1063778810110141.
@article{osti_21426647,
title = {Hidden symmetries and killing tensors on curved spaces},
author = {Ianus, S and Visinescu, M and Vilcu, G E},
abstractNote = {Higher-order symmetries corresponding to Killing tensors are investigated. The intimate relation between Killing-Yano tensors and nonstandard 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 3-Sasakian structures.},
doi = {10.1134/S1063778810110141},
url = {https://www.osti.gov/biblio/21426647},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 11,
volume = 73,
place = {United States},
year = {Mon Nov 15 00:00:00 EST 2010},
month = {Mon Nov 15 00:00:00 EST 2010}
}