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On non-chiral extension of Kerr/CFT

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Abstract

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 CFT2 structure with the same central charges for both left and right sectors dual to the rotating black holes.

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Authors and Affiliations

  1. Department of Physics, Kyoto University, Kyoto, 606–8502, Japan

    Tatsuo Azeyanagi

  2. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606–8502, Japan

    Noriaki Ogawa & Seiji Terashima

Authors
  1. Tatsuo Azeyanagi
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  2. Noriaki Ogawa
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  3. Seiji Terashima
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Correspondence to Noriaki Ogawa.

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ArXiv ePrint:1102.3423

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Azeyanagi, T., Ogawa, N. & Terashima, S. On non-chiral extension of Kerr/CFT. J. High Energ. Phys. 2011, 81 (2011). https://doi.org/10.1007/JHEP06(2011)081

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