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Supersymmetric Rényi entropy and charged hyperbolic black holes

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  • Published: 21 July 2020
  • Volume 2020, article number 131, (2020)
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Supersymmetric Rényi entropy and charged hyperbolic black holes
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  • Seyed Morteza Hosseini  ORCID: orcid.org/0000-0001-8205-400X1,
  • Chiara Toldo2,3,4 &
  • Itamar Yaakov5 

  • 379 Accesses

  • 21 Citations

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A preprint version of the article is available at arXiv.

Abstract

The supersymmetric Rényi entropy across a spherical entangling surface in a d-dimensional SCFT with flavor defects is equivalent to a supersymmetric partition function on ℍd−1 × 𝕊1, which can be computed exactly using localization. We consider the holographically dual BPS solutions in (d + 1)-dimensional matter coupled supergravity (d = 3, 5), which are charged hyperbolically sliced AdS black holes. We compute the renormalized on-shell action and the holographic supersymmetric Rényi entropy and show a perfect match with the field theory side. Our setup allows a direct map between the chemical potentials for the global symmetries of the field theories and those of the gravity solutions. We also discuss a simple case where angular momentum is added.

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Authors and Affiliations

  1. Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba, 277-8583, Japan

    Seyed Morteza Hosseini

  2. Kavli Institute for Theoretical Physics, Kohn Hall, University of California Santa Barbara, Santa Barbara, CA, 93106, U.S.A.

    Chiara Toldo

  3. Centre de Physique Théorique (CPHT), Ecole Polytechnique, Cedex, 91128, Palaiseau, France

    Chiara Toldo

  4. Institut de Physique Théorique, Université Paris Saclay, CEA, CNRS, Orme des Merisiers, 91191, Gif-sur-Yvette Cedex, France

    Chiara Toldo

  5. INFN — Sezione di Milano Bicocca, Dipartimento di Fisica, Edificio U2, Piazza della Scienza 3, I-20126, Milano, MI, Italy

    Itamar Yaakov

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  1. Seyed Morteza Hosseini
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  2. Chiara Toldo
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Correspondence to Seyed Morteza Hosseini.

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Hosseini, S.M., Toldo, C. & Yaakov, I. Supersymmetric Rényi entropy and charged hyperbolic black holes. J. High Energ. Phys. 2020, 131 (2020). https://doi.org/10.1007/JHEP07(2020)131

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  • Received: 13 April 2020

  • Accepted: 23 June 2020

  • Published: 21 July 2020

  • DOI: https://doi.org/10.1007/JHEP07(2020)131

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Keywords

  • AdS-CFT Correspondence
  • Black Holes in String Theory
  • Supersymmetric Gauge Theory
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