Hidden symmetries and killing tensors on curved spaces

被引：0
作者：
S. Ianuş
M. Visinescu
G. E. Vîlcu
机构：
[1] University of Bucharest,Department of Mathematics
[2] Institute for Physics and Nuclear Engineering,Department of Theoretical Physics
[3] Petroleum-Gas University of Ploieşti,Department of Mathematics and Computer Science
来源：
Physics of Atomic Nuclei | 2010年 / 73卷
关键词：
Manifold; Conformal Killing; Hide Symmetry; Dirac Theory; Conformal Killing Vector;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：1925 / 1930
页数：5
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