On Hidden Symmetries of d 〉 4 NHEK-N-AdS Geometry

As well known, all higher dimensional Kerr-NUT-Ads metrics with arbitrary rotation and NUT parameters in an asymptotically AdS spacetime have a new hidden symmetry. In this paper, we show that in the near horizon, the isometry group is enhanced to include the dilatation and special conformal transfo...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 63; no. 1; pp. 31 - 35
Main Authors Xu, Jie, Yue, Rui-Hong
Format Journal Article
LanguageEnglish
Published 2015
Subjects
AdS
Asymptotic properties
Cosmological constant
Horizon
Killing
Mathematical analysis
Symmetry
Transformations
Vectors (mathematics)
保角变换
几何对称性
地平线
宇宙常数
广告
张量分解
隐藏
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Summary:As well known, all higher dimensional Kerr-NUT-Ads metrics with arbitrary rotation and NUT parameters in an asymptotically AdS spacetime have a new hidden symmetry. In this paper, we show that in the near horizon, the isometry group is enhanced to include the dilatation and special conformal transformation, and find the conformal transformation contains the cosmological constant. It is demonstrated that for near horizon extremal Kerr-NUT-Ads （NHEK-N-AdS） only one rank-2 Killing tensor decomposes into a quadratic combination of the Killing vectors in terms of conformal group, while the others are functionally independent.
Bibliography:near horizon black holes, Killing tensors, hidden symmetries, uniform reduced form
11-2592/O3
As well known, all higher dimensional Kerr-NUT-Ads metrics with arbitrary rotation and NUT parameters in an asymptotically AdS spacetime have a new hidden symmetry. In this paper, we show that in the near horizon, the isometry group is enhanced to include the dilatation and special conformal transformation, and find the conformal transformation contains the cosmological constant. It is demonstrated that for near horizon extremal Kerr-NUT-Ads （NHEK-N-AdS） only one rank-2 Killing tensor decomposes into a quadratic combination of the Killing vectors in terms of conformal group, while the others are functionally independent.
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content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/63/1/06