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Near-extremal vanishing horizon AdS5 black holes and their CFT duals

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Abstract

We consider families of charged rotating asymptotically AdS5 Extremal black holes with Vanishing Horizon (EVH black holes) whose near horizon geometries develop locally AdS3 throats. Using the AdS3/CFT2 duality, we propose an EVH/CFT2 correspondence to describe the near-horizon low energy IR dynamics of near-EVH black holes involving a specific large N limit of the 4d \( \mathcal{N}=4 \) SYM. We give a map between the UV and IR near-EVH excitations, showing that the ‘UV first law’ of thermodynamics reduces to the ‘IR first law’ satisfied by the near horizon BTZ black holes in this near-EVH limit. We also discuss the connection between our EVH/CFT proposal and the Kerr/CFT correspondence in the cases where the two overlap.

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Author information

Authors and Affiliations

  1. School of Mathematics and Maxwell Institute for Mathematical Sciences, King’s Buildings, Edinburgh, EH9 3JZ, U.K.

    Maria Johnstone & Joan Simón

  2. School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

    M. M. Sheikh-Jabbari

  3. Department of Physics, Kyung Hee University, Hoegi-dong, Dongdaemun-gu, Seoul, 130-701, Korea

    H. Yavartanoo

Authors
  1. Maria Johnstone
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  2. M. M. Sheikh-Jabbari
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  3. Joan Simón
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  4. H. Yavartanoo
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Correspondence to H. Yavartanoo.

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ArXiv ePrint: 1301.3387

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Johnstone, M., Sheikh-Jabbari, M.M., Simón, J. et al. Near-extremal vanishing horizon AdS5 black holes and their CFT duals. J. High Energ. Phys. 2013, 45 (2013). https://doi.org/10.1007/JHEP04(2013)045

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