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Emergent AdS3 in the zero entropy extremal black holes

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Abstract

We investigate the zero entropy limit of the near horizon geometries of D = 4 and D = 5 general extremal black holes with \( {\text{SL}}\left( {2,\mathbb{R}} \right) \times {\text{U}}{(1)^{D - 3}} \) symmetry. We derive some conditions on the geometries from expectation of regularity. We then show that an AdS3 structure emerges in a certain scaling limit, though the periodicity shrinks to zero. We present some examples to see the above concretely. We also comment on some implications to the Kerr/CFT correspondence.

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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: 1010.4291

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Azeyanagi, T., Ogawa, N. & Terashima, S. Emergent AdS3 in the zero entropy extremal black holes. J. High Energ. Phys. 2011, 4 (2011). https://doi.org/10.1007/JHEP03(2011)004

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  • DOI: https://doi.org/10.1007/JHEP03(2011)004

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