On Non-Chiral Extension of Kerr/CFT

Details On Non-Chiral Extension of Kerr/CFT On Non-Chiral Extension of Kerr/CFT

2011-02-16

arxiv.org/abs/1102.3423v2

JHEP 1106:081,2011

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX; v2: minor corrections, references added

Scientific paper

10.1007/JHEP06(2011)081

We discuss possible non-chiral extension of the Kerr/CFT correspondence. We first consider the near horizon geometry of an extremal BTZ black hole and study the asymptotic symmetry. In order to define it properly, we introduce a regularization and show that the asymptotic symmetry becomes the desirable non-chiral Virasoro symmetry with the same central charges for both left and right sectors, which are independent of the regularization parameter. We then investigate the non-chiral extension for general extremal black holes in the zero entropy limit. Since the same geometric structure as above emerges in this limit, we identify non-chiral Virasoro symmetry by a similar procedure. This observation supports the existence of a hidden non-chiral CFT_2 structure with the same central charges for both left and right sectors dual to the rotating black holes.

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