Geodesic
Wormholes in Jackiw–Teitelboim gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 424-439
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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{\textendash}Teitelboim} gravity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {424--439},
     year = {2019},
     volume = {201},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a8/}
}
TY  - JOUR
AU  - D. S. Ageev
AU  - I. Ya. Aref'eva
AU  - A. V. Lysukhina
TI  - Wormholes in Jackiw–Teitelboim gravity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2019
SP  - 424
EP  - 439
VL  - 201
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a8/
LA  - ru
ID  - TMF_2019_201_3_a8
ER  - 
%0 Journal Article
%A D. S. Ageev
%A I. Ya. Aref'eva
%A A. V. Lysukhina
%T Wormholes in Jackiw–Teitelboim gravity
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2019
%P 424-439
%V 201
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a8/
%G ru
%F TMF_2019_201_3_a8
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/

[1] J. M. Maldacena, “The large $N$ limit of superconformal field theories and supergravity”, Internat. J. Theor. Phys., 38:4 (1999), 1113–1133 ; “The large $N$ limit of superconformal field theories and supergravity”, Adv. Theor. Math. Phys., 2:2 (1998), 231–252, arXiv: hep-th/9711200 | DOI | DOI | MR

[2] S. S. Gubser, I. R. Klebanov, A. M. Polyakov, “Gauge theory correlators from non-critical string theory”, Phys. Lett. B, 428:1–2 (1998), 105–114, arXiv: hep-th/9802109 | DOI

[3] E. Witten, “Anti-de Sitter space and holography”, Adv. Theor. Math. Phys., 2:2 (1998), 253–291, arXiv: hep-th/9802150 | DOI

[4] R. Jackiw, “Lower dimensional gravity”, Nucl. Phys. B, 252 (1985), 343–356 | DOI

[5] C. Teitelboim, “Gravitation and Hamiltonian structure in two spacetime dimensions”, Phys. Lett. B, 126:1–2 (1983), 41–45 | DOI | MR

[6] V. P. Frolov, “Two-dimensional black hole physics”, Phys. Rev. D, 46:12 (1992), 5383–5394 | DOI | MR

[7] M. O. Katanaev, W. Kummer, H. Liebl, “Geometric interpretation and classification of global solutions in generalized dilaton gravity”, Phys. Rev. D, 53:10 (1996), 5609–5628, arXiv: gr-qc/9511009 | DOI

[8] M. O. Katanaev, “Effective action for scalar fields in two-dimensional gravity”, Ann. Phys., 296:1 (2002), 1–50, arXiv: gr-qc/0101033 | DOI | MR

[9] M. Spradlin, A. Strominger, “Vacuum states for $AdS(2)$ black holes”, JHEP, 11 (1999), 021, 30 pp., arXiv: hep-th/9904143 | DOI

[10] A. Almheiri, J. Polchinski, “Models of AdS$_{2}$ backreaction and holography”, JHEP, 11 (2015), 014, 18 pp., arXiv: 1402.6334 | DOI | MR

[11] K. Jensen, “Chaos in AdS$_2$ holography”, Phys. Rev. Lett., 117:11 (2016), 111601, 6 pp., arXiv: 1605.06098 | DOI

[12] J. Maldacena, D. Stanford, Z. Yang, “Conformal symmetry and its breaking in two dimensional nearly anti-de-Sitter space”, Prog. Theor. Exp. Phys., 2016:12 (2016), 12C104, 26 pp., arXiv: 1606.01857 | DOI | MR

[13] J. Engelsoy, T. G. Mertens, H. Verlinde, “An investigation of AdS$_{2}$ backreaction and holography”, JHEP, 07 (2016), 139, 29 pp. | DOI | MR

[14] J. Maldacena, X.-L. Qi, Eternal traversable wormhole, arXiv: 1804.00491

[15] P. Gao, D. L. Jafferis, A. C. Wall, “Traversable wormholes via a double trace deformation”, JHEP, 12 (2017), 151, 24 pp., arXiv: 1608.05687 | DOI | MR

[16] J. Maldacena, D. Stanford, Z. Yang, “Diving into traversable wormholes”, Fortsch. Phys., 65:5 (2017), 1700034, 31 pp., arXiv: 1704.05333 | DOI | MR

[17] D. Bak, C. Kim, S.-H. Yi, “Transparentizing black holes to eternal traversable wormholes”, JHEP, 03 (2019), 155, 32 pp., arXiv: 1901.07679 | DOI | MR

[18] I. Kourkoulou, J. Maldacena, Pure states in the SYK model and nearly-$AdS_2$ gravity, arXiv: 1707.02325

[19] V. V. Belokurov, E. T. Shavgulidze, “Exact solution of the Schwarzian theory”, Phys. Rev. D, 96:10 (2017), 101701, 3 pp., arXiv: 1705.02405 | DOI | MR

[20] Y. Chen, P. Zhang, Entanglement entropy of two coupled SYK models and eternal traversable wormhole, arXiv: 1903.10532

[21] A. Goel, H. T. Lam, G. J. Turiaci, H. Verlinde, “Expanding the black hole interior: partially entangled thermal states in SYK”, JHEP, 02 (2019), 156, 43 pp., arXiv: 1807.03916 | DOI | MR

[22] J. Maldacena, D. Stanford, “Remarks on the Sachdev–Ye–Kitaev model”, Phys. Rev. D, 94:10 (2016), 106002, 43 pp., arXiv: 1604.07818 | DOI | MR

[23] S. Ryu, T. Takayanagi, “Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence”, Phys. Rev. Lett., 96:18 (2006), 181602, 4 pp., arXiv: hep-th/0603001 | DOI

[24] J. Navarro-Salas, P. Navarro, “AdS$_2$/CFT$_1$ correspondence and near-extremal black hole entropy”, Nucl. Phys. B, 579:1–2 (2000), 250–266, arXiv: hep-th/9910076 | DOI | MR

[25] A. Achúcarro, M. E. Ortiz, “Relating black holes in two and three dimensions”, Phys. Rev. D, 48:3 (1993), 3600–3605, arXiv: hep-th/9304068 | DOI | MR

[26] V. E. Hubeny, M. Rangamani, T. Takayanagi, “A covariant holographic entanglement entropy proposal”, JHEP, 07 (2007), 062, 64 pp., arXiv: 0705.0016 | DOI | MR

[27] A. Castro, F. Larsen, “Near extremal Kerr entropy from AdS$_2$ quantum gravity”, JHEP, 12 (2009), 037, 24 pp., arXiv: 0908.1121 | DOI | MR

[28] T. Azeyanagi, T. Nishioka, T. Takayanagi, “Near extremal black hole entropy as entanglement entropy via AdS$_2$/CFT$_1$”, Phys. Rev. D, 77:6 (2008), 064005, 17 pp., arXiv: 0710.2956 | DOI | MR

[29] N. Callebaut, H. Verlinde, “Entanglement dynamics in 2D CFT with boundary: entropic origin of JT gravity and Schwarzian QM”, JHEP, 05 (2019), 045, 12 pp., arXiv: 1808.05583 | DOI | MR

[30] J. Lin, Entanglement entropy in Jackiw–Teitelboim gravity, arXiv: 1807.06575

[31] I. Aref'eva, I. Volovich, Spontaneous symmetry breaking in fermionic random matrix model, arXiv: 1902.09970

[32] I. Aref 'eva, M. Khramtsov, M. Tikhanovskaya, I. Volovich, Replica-nondiagonal solutions in the SYK model, arXiv: 1811.04831