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TMF, 2019, Volume 201, Number 3, Pages 424–439 (Mi tmf9743)  

Wormholes in Jackiw–Teitelboim gravity

D. S. Ageeva, I. Ya. Aref'evaa, A. V. Lysukhinab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia

Abstract: We investigate various aspects of AdS$_2$ wormholes in Jackiw–Teitelboim gravity and their holographic applications. We first study the AdS$_2$ 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 half-plane. 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.

Keywords: holography, Jackiw–Teitelboim gravity, wormhole.

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


DOI: https://doi.org/10.4213/tmf9743

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English version:
Theoretical and Mathematical Physics, 2019, 201:3, 1779–1792

Bibliographic databases:

Received: 13.05.2019
Revised: 13.05.2019

Citation: D. S. Ageev, I. Ya. Aref'eva, A. V. Lysukhina, “Wormholes in Jackiw–Teitelboim gravity”, TMF, 201:3 (2019), 424–439; Theoret. and Math. Phys., 201:3 (2019), 1779–1792

Citation in format AMSBIB
\Bibitem{AgeAreLys19}
\by D.~S.~Ageev, I.~Ya.~Aref'eva, A.~V.~Lysukhina
\paper Wormholes in Jackiw--Teitelboim gravity
\jour TMF
\yr 2019
\vol 201
\issue 3
\pages 424--439
\mathnet{http://mi.mathnet.ru/tmf9743}
\crossref{https://doi.org/10.4213/tmf9743}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=4036831}
\transl
\jour Theoret. and Math. Phys.
\yr 2019
\vol 201
\issue 3
\pages 1779--1792
\crossref{https://doi.org/10.1134/S0040577919120092}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85077625084}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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