Hidden symmetries and killing tensors on curved spaces

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778810110141· OSTI ID:21426647

Ianus, S ^[1]; Visinescu, M ^[2]; Vilcu, G E ^[3]

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1. University of Bucharest, Department of Mathematics (Romania)
2. Institute for Physics and Nuclear Engineering, Department of Theoretical Physics (Romania)
3. Petroleum-Gas University of Ploiesti, Department of Mathematics and Computer Science (Romania)

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.

• OSTI ID: 21426647
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 11 Vol. 73; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COORDINATES
CURVILINEAR COORDINATES
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
EUCLIDEAN SPACE
FIELD EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
MATHEMATICAL SPACE
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
RIEMANN SPACE
SPACE
SPACE-TIME
SUPERSYMMETRY
SYMMETRY
TENSORS
WAVE EQUATIONS