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Replica wormholes and the entropy of Hawking radiation

  • Regular Article - Theoretical Physics
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  • Published: 05 May 2020
  • volume 2020, Article number: 13 (2020)
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Replica wormholes and the entropy of Hawking radiation
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  • Ahmed Almheiri1,
  • Thomas Hartman2,
  • Juan Maldacena1,
  • Edgar Shaghoulian  ORCID: orcid.org/0000-0003-4529-39382 &
  • …
  • Amirhossein Tajdini2 

  • 3849 Accesses

  • 402 Citations

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A preprint version of the article is available at arXiv.

Abstract

The information paradox can be realized in anti-de Sitter spacetime joined to a Minkowski region. In this setting, we show that the large discrepancy between the von Neumann entropy as calculated by Hawking and the requirements of unitarity is fixed by including new saddles in the gravitational path integral. These saddles arise in the replica method as complexified wormholes connecting different copies of the black hole. As the replica number n → 1, the presence of these wormholes leads to the island rule for the computation of the fine-grained gravitational entropy. We discuss these replica wormholes explicitly in two-dimensional Jackiw-Teitelboim gravity coupled to matter.

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Authors and Affiliations

  1. Institute for Advanced Study, Princeton, New Jersey, USA

    Ahmed Almheiri & Juan Maldacena

  2. Department of Physics, Cornell University, Ithaca, New York, USA

    Thomas Hartman, Edgar Shaghoulian & Amirhossein Tajdini

Authors
  1. Ahmed Almheiri
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  2. Thomas Hartman
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  3. Juan Maldacena
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Corresponding author

Correspondence to Edgar Shaghoulian.

Additional information

ArXiv ePrint: 1911.12333

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Cite this article

Almheiri, A., Hartman, T., Maldacena, J. et al. Replica wormholes and the entropy of Hawking radiation. J. High Energ. Phys. 2020, 13 (2020). https://doi.org/10.1007/JHEP05(2020)013

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  • Received: 17 February 2020

  • Accepted: 19 April 2020

  • Published: 05 May 2020

  • DOI: https://doi.org/10.1007/JHEP05(2020)013

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Keywords

  • 2D Gravity
  • Black Holes
  • Models of Quantum Gravity

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