Hidden symmetries and killing tensors on curved spaces

被引：2

作者：

Ianus, S. ^{[1
]}

Visinescu, M. ^{[2
]}

Vilcu, G. E. ^{[3
]}

机构：

[1] Univ Bucharest, Dept Math, Bucharest, Romania

[2] Inst Phys & Nucl Engn, Dept Theoret Phys, Bucharest, Romania

[3] Petr Gas Univ Ploiesti, Dept Math & Comp Sci, Ploiesti 100680, Romania

来源：

PHYSICS OF ATOMIC NUCLEI | 2010年 / 73卷 / 11期

关键词：

DIRAC-EQUATION; MANIFOLDS; FORMS; SUPERALGEBRAS; OPERATORS;

D O I：

10.1134/S1063778810110141

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

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.

引用

页码：1925 / 1930

页数：6

共 33 条

[1] Cones over pseudo-Riemannian manifolds and their holonomy [J].