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Semiclassical 3D gravity as an average of large-c CFTs

  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 13 December 2022
  • volume 2022, Article number: 69 (2022)
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Semiclassical 3D gravity as an average of large-c CFTs
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  • Jeevan Chandra1,
  • Scott Collier  ORCID: orcid.org/0000-0002-8647-66532,
  • Thomas Hartman1 &
  • …
  • Alexander Maloney3 

  • 203 Accesses

  • 10 Citations

  • 6 Altmetric

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  • Cite this article

A preprint version of the article is available at arXiv.

Abstract

A two-dimensional CFT dual to a semiclassical theory of gravity in three dimensions must have a large central charge c and a sparse low energy spectrum. This constrains the OPE coefficients and density of states of the CFT via the conformal bootstrap. We define an ensemble of CFT data by averaging over OPE coefficients subject to these bootstrap constraints, and show that calculations in this ensemble reproduce semiclassical 3D gravity. We analyze a wide variety of gravitational solutions, both in pure Einstein gravity and gravity coupled to massive point particles, including Euclidean wormholes with multiple boundaries and higher topology spacetimes with a single boundary. In all cases we find that the on-shell action of gravity agrees with the ensemble-averaged CFT at large c. The one-loop corrections also match in the cases where they have been computed. We also show that the bulk effective theory has random couplings induced by wormholes, providing a controlled, semiclassical realization of the mechanism of Coleman, Giddings, and Strominger.

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Authors and Affiliations

  1. Department of Physics, Cornell University, 142 Sciences Drive, Ithaca, NY, 14853, USA

    Jeevan Chandra & Thomas Hartman

  2. Princeton Center for Theoretical Science, Princeton University, Washington Road, Princeton, NJ, 08544, USA

    Scott Collier

  3. Department of Physics, McGill University, 3600 rue University, Montréal, Canada

    Alexander Maloney

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Correspondence to Jeevan Chandra.

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Chandra, J., Collier, S., Hartman, T. et al. Semiclassical 3D gravity as an average of large-c CFTs. J. High Energ. Phys. 2022, 69 (2022). https://doi.org/10.1007/JHEP12(2022)069

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  • Received: 03 August 2022

  • Revised: 19 November 2022

  • Accepted: 30 November 2022

  • Published: 13 December 2022

  • DOI: https://doi.org/10.1007/JHEP12(2022)069

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Keywords

  • AdS-CFT Correspondence
  • Field Theories in Lower Dimensions
  • Black Holes
  • Black Holes in String Theory

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