D. S. Ageev, I. Ya. Aref'eva, A. V. Lysukhina, “Wormholes in Jackiw–Teitelboim gravity”, TMF, 2019, Volume 201, Number 3,Pages <nobr>424

This article is cited in 4 papers

Wormholes in Jackiw–Teitelboim gravity

D. S. Ageev^a, I. Ya. Aref'eva^a, A. V. Lysukhina^b

^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.

Received: 13.05.2019
Revised: 13.05.2019

DOI: 10.4213/tmf9743