Geodesic
Wormholes in Jackiw--Teitelboim gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 424-439

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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. 
@article{TMF_2019_201_3_a8,
     author = {D. S. Ageev and I. Ya. Aref'eva and A. V. Lysukhina},
     title = {Wormholes in {Jackiw--Teitelboim} gravity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {424--439},
     publisher = {mathdoc},
     volume = {201},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a8/}
}
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D. S. Ageev; I. Ya. Aref'eva; A. V. Lysukhina. Wormholes in Jackiw--Teitelboim gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 424-439. http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a8/