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Wormholes in Jackiw—Teitelboim Gravity

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Abstract

We investigate various aspects of AdS2 wormholes in Jackiw—Teitelboim gravity and their holographic applications. We first study the AdS2 space in global coordinates traversable by virtue of the presence of pointlike matter violating the dominant energy condition. We calculate the evolution of the entanglement entropy in such a system. We then investigate the construction proposed by Verlinde and colleagues describing states similar to wormholes. These states are called partially entangled thermal states. We propose a construction similar to the geometries of such states using conformal maps of the upper halfplane. We study correlation functions in theories dual to such geometries and also comment on the possible connection between a special type of partially entangled thermal states and violation of replica symmetry.

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Authors and Affiliations

  1. Department of Mathematical Methods for Quantum Technologies, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    D. S. Ageev

  2. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    I. Ya. Aref’eva

  3. Lomonosov Moscow State University, Moscow, Russia

    A. V. Lysukhina

Authors
  1. D. S. Ageev
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  2. I. Ya. Aref’eva
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  3. A. V. Lysukhina
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Corresponding authors

Correspondence to D. S. Ageev, I. Ya. Aref’eva or A. V. Lysukhina.

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Conflicts of interest. The authors declare no conflicts of interest.

Additional information

This research is supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (Project No. 18-1-1-80-4).

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 201, No. 3, pp. 424–439, December, 2019.

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Ageev, D.S., Aref’eva, I.Y. & Lysukhina, A.V. Wormholes in Jackiw—Teitelboim Gravity. Theor Math Phys 201, 1779–1792 (2019). https://doi.org/10.1134/S0040577919120092

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  • DOI: https://doi.org/10.1134/S0040577919120092

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