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Higher spin black holes from CFT

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Abstract

Higher spin gravity in three dimensions has explicit black holes solutions, carrying higher spin charge. We compute the free energy of a charged black hole from the holographic dual, a 2d CFT with extended conformal symmetry, and find exact agreement with the bulk thermodynamics. In the CFT, higher spin corrections to the free energy can be calculated at high temperature from correlation functions of \( \mathcal{W} \)-algebra currents.

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Authors and Affiliations

  1. Institut für Theoretische Physik, ETH Zürich, CH-8093, Zürich, Switzerland

    Matthias R. Gaberdiel & Kewang Jin

  2. Institute for Advanced Study, School of Natural Sciences, Princeton, NJ, 08540, USA

    Thomas Hartman

Authors
  1. Matthias R. Gaberdiel
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  2. Thomas Hartman
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  3. Kewang Jin
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Correspondence to Kewang Jin.

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ArXiv ePrint: 1203.0015

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Gaberdiel, M.R., Hartman, T. & Jin, K. Higher spin black holes from CFT. J. High Energ. Phys. 2012, 103 (2012). https://doi.org/10.1007/JHEP04(2012)103

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  • DOI: https://doi.org/10.1007/JHEP04(2012)103

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