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 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. (general)