Symmetries and supersymmetries of Dirac‐type operators on Euclidean Taub‐NUT space
作者:
Ion I. Cotaˇescu,
Mihai Visinescu,
期刊:
AIP Conference Proceedings
(AIP Available online 1904)
卷期:
Volume 729,
issue 1
页码: 124-130
ISSN:0094-243X
年代: 1904
DOI:10.1063/1.1814722
出版商: AIP
数据来源: AIP
摘要:
The role of the Killing‐Yano tensors in the construction of the Dirac‐type operators is pointed out. The general results are applied to the case of the four‐dimensional Euclidean Taub‐NUT space. Three new Dirac‐type operators, equivalent to the standard Dirac one, are constructed from the covariantly constant Killing‐Yano tensors of this space. In this space there is also a non covariantly constant Killing‐Yano tensor connected with hidden symmetries. The Runge‐Lenz operator for the Dirac equation in this background is written down pointing out its algebraic properties. © 2004 American Institute of Physics
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