Physics of Atomic Nuclei

, Volume 73, Issue 11, pp 1925–1930 | Cite as

Hidden symmetries and killing tensors on curved spaces

Elementary Particles and Fields Theory

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.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BucharestBucharestRomania
  2. 2.Department of Theoretical PhysicsInstitute for Physics and Nuclear EngineeringMagurele, BucharestRomania
  3. 3.Department of Mathematics and Computer SciencePetroleum-Gas University of PloieştiBucharestRomania

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