Abstract
We construct an eternal traversable wormhole connecting two asymptotically AdS4 regions. The wormhole is dual to the ground state of a system of two identical holographic CFT’s coupled via a single low-dimension operator. The coupling between the two CFT’s leads to negative null energy in the bulk, which supports a static traversable wormhole. As the ground state of a simple Hamiltonian, it may be possible to make these wormholes in the lab or on a quantum computer.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M.S. Morris and K.S. Thorne, Wormholes in space-time and their use for interstellar travel: a tool for teaching general relativity, Am. J. Phys. 56 (1988) 395 [INSPIRE].
M.S. Morris, K.S. Thorne and U. Yurtsever, Wormholes, time machines, and the weak energy condition, Phys. Rev. Lett. 61 (1988) 1446 [INSPIRE].
M. Visser, Traversable wormholes: some simple examples, Phys. Rev. D 39 (1989) 3182 [arXiv:0809.0907] [INSPIRE].
M. Visser, Traversable wormholes from surgically modified Schwarzschild space-times, Nucl. Phys. B 328 (1989) 203 [arXiv:0809.0927] [INSPIRE].
E. Poisson and M. Visser, Thin shell wormholes: linearization stability, Phys. Rev. D 52 (1995) 7318 [gr-qc/9506083] [INSPIRE].
C. Barcelo and M. Visser, Traversable wormholes from massless conformally coupled scalar fields, Phys. Lett. B 466 (1999) 127 [gr-qc/9908029] [INSPIRE].
M. Visser, S. Kar and N. Dadhich, Traversable wormholes with arbitrarily small energy condition violations, Phys. Rev. Lett. 90 (2003) 201102 [gr-qc/0301003] [INSPIRE].
J.L. Blázquez-Salcedo, X.Y. Chew, J. Kunz and D.-H. Yeom, Ellis wormholes in anti-de Sitter space, arXiv:2012.06213 [INSPIRE].
B. Bhawal and S. Kar, Lorentzian wormholes in Einstein-Gauss-Bonnet theory, Phys. Rev. D 46 (1992) 2464 [INSPIRE].
M. Thibeault, C. Simeone and E.F. Eiroa, Thin-shell wormholes in Einstein-Maxwell theory with a Gauss-Bonnet term, Gen. Rel. Grav. 38 (2006) 1593 [gr-qc/0512029] [INSPIRE].
R.E. Arias, M. Botta Cantcheff and G.A. Silva, Lorentzian AdS, wormholes and holography, Phys. Rev. D 83 (2011) 066015 [arXiv:1012.4478] [INSPIRE].
M. Chernicoff, E. García, G. Giribet and E. Rubín de Celis, Thin-shell wormholes in AdS5 and string dioptrics, JHEP 10 (2020) 019 [arXiv:2006.07428] [INSPIRE].
X.O. Camanho, J.D. Edelstein, J. Maldacena and A. Zhiboedov, Causality constraints on corrections to the graviton three-point coupling, JHEP 02 (2016) 020 [arXiv:1407.5597] [INSPIRE].
P. Gao, D.L. Jafferis and A.C. Wall, Traversable wormholes via a double trace deformation, JHEP 12 (2017) 151 [arXiv:1608.05687] [INSPIRE].
J. Maldacena, D. Stanford and Z. Yang, Diving into traversable wormholes, Fortsch. Phys. 65 (2017) 1700034 [arXiv:1704.05333] [INSPIRE].
R. van Breukelen and K. Papadodimas, Quantum teleportation through time-shifted AdS wormholes, JHEP 08 (2018) 142 [arXiv:1708.09370] [INSPIRE].
J. de Boer, R. Van Breukelen, S.F. Lokhande, K. Papadodimas and E. Verlinde, On the interior geometry of a typical black hole microstate, JHEP 05 (2019) 010 [arXiv:1804.10580] [INSPIRE].
A. Almheiri, A. Mousatov and M. Shyani, Escaping the interiors of pure boundary-state black holes, arXiv:1803.04434 [INSPIRE].
D. Bak, C. Kim and S.-H. Yi, Bulk view of teleportation and traversable wormholes, JHEP 08 (2018) 140 [arXiv:1805.12349] [INSPIRE].
Z. Fu, B. Grado-White and D. Marolf, A perturbative perspective on self-supporting wormholes, Class. Quant. Grav. 36 (2019) 045006 [Erratum ibid. 36 (2019) 249501] [arXiv:1807.07917] [INSPIRE].
E. Caceres, A.S. Misobuchi and M.-L. Xiao, Rotating traversable wormholes in AdS, JHEP 12 (2018) 005 [arXiv:1807.07239] [INSPIRE].
S. Hirano, Y. Lei and S. van Leuven, Information transfer and black hole evaporation via traversable BTZ wormholes, JHEP 09 (2019) 070 [arXiv:1906.10715] [INSPIRE].
J. De Boer, R. Van Breukelen, S.F. Lokhande, K. Papadodimas and E. Verlinde, Probing typical black hole microstates, JHEP 01 (2020) 062 [arXiv:1901.08527] [INSPIRE].
Z. Fu, B. Grado-White and D. Marolf, Traversable asymptotically flat wormholes with short transit times, Class. Quant. Grav. 36 (2019) 245018 [arXiv:1908.03273] [INSPIRE].
B. Freivogel, V. Godet, E. Morvan, J.F. Pedraza and A. Rotundo, Lessons on eternal traversable wormholes in AdS, JHEP 07 (2019) 122 [arXiv:1903.05732] [INSPIRE].
B. Freivogel, D.A. Galante, D. Nikolakopoulou and A. Rotundo, Traversable wormholes in AdS and bounds on information transfer, JHEP 01 (2020) 050 [arXiv:1907.13140] [INSPIRE].
A. May and M. Van Raamsdonk, Interpolating between multi-boundary wormholes and single-boundary geometries in holography, JHEP 04 (2021) 185 [arXiv:2011.14258] [INSPIRE].
S. Fallows and S.F. Ross, Making near-extremal wormholes traversable, JHEP 12 (2020) 044 [arXiv:2008.07946] [INSPIRE].
R. Emparan, B. Grado-White, D. Marolf and M. Tomasevic, Multi-mouth traversable wormholes, JHEP 05 (2021) 032 [arXiv:2012.07821] [INSPIRE].
A. Al Balushi, Z. Wang and D. Marolf, Traversability of multi-boundary wormholes, JHEP 04 (2021) 083 [arXiv:2012.04635] [INSPIRE].
J. Maldacena and X.-L. Qi, Eternal traversable wormhole, arXiv:1804.00491 [INSPIRE].
J. Maldacena, A. Milekhin and F. Popov, Traversable wormholes in four dimensions, arXiv:1807.04726 [INSPIRE].
J. Maldacena, Comments on magnetic black holes, JHEP 04 (2021) 079 [arXiv:2004.06084] [INSPIRE].
L. Susskind and Y. Zhao, Teleportation through the wormhole, Phys. Rev. D 98 (2018) 046016 [arXiv:1707.04354] [INSPIRE].
A.R. Brown et al., Quantum gravity in the lab: teleportation by size and traversable wormholes, arXiv:1911.06314 [INSPIRE].
S. Nezami et al., Quantum gravity in the lab: teleportation by size and traversable wormholes, part II, arXiv:2102.01064 [INSPIRE].
W. Cottrell, B. Freivogel, D.M. Hofman and S.F. Lokhande, How to build the thermofield double state, JHEP 02 (2019) 058 [arXiv:1811.11528] [INSPIRE].
S. Banerjee and J. Kames-King, Traversable wormholes in AdS and their CFT duals, to appear.
M. Van Raamsdonk, Cosmology from confinement?, arXiv:2102.05057 [INSPIRE].
M. Henningson and K. Sfetsos, Spinors and the AdS/CFT correspondence, Phys. Lett. B 431 (1998) 63 [hep-th/9803251] [INSPIRE].
M. Henneaux, Boundary terms in the AdS/CFT correspondence for spinor fields, in International meeting on mathematical methods in modern theoretical physics (ISPM 98), (1998), pg. 161 [hep-th/9902137] [INSPIRE].
A.J. Amsel and D. Marolf, Supersymmetric multi-trace boundary conditions in AdS, Class. Quant. Grav. 26 (2009) 025010 [arXiv:0808.2184] [INSPIRE].
J.M. Maldacena, J. Michelson and A. Strominger, Anti-de Sitter fragmentation, JHEP 02 (1999) 011 [hep-th/9812073] [INSPIRE].
V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121] [INSPIRE].
S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Holographic superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563] [INSPIRE].
O.J.C. Dias, R. Masachs, O. Papadoulaki and P. Rodgers, Hunting for fermionic instabilities in charged AdS black holes, JHEP 04 (2020) 196 [arXiv:1910.04181] [INSPIRE].
L.J. Romans, Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory, Nucl. Phys. B 383 (1992) 395 [hep-th/9203018] [INSPIRE].
H.K. Kunduri, J. Lucietti and H.S. Reall, Supersymmetric multi-charge AdS5 black holes, JHEP 04 (2006) 036 [hep-th/0601156] [INSPIRE].
J.B. Gutowski and H.S. Reall, General supersymmetric AdS5 black holes, JHEP 04 (2004) 048 [hep-th/0401129] [INSPIRE].
S. Bhattacharyya, S. Minwalla and K. Papadodimas, Small hairy black holes in AdS5 × S5, JHEP 11 (2011) 035 [arXiv:1005.1287] [INSPIRE].
Y. Chen, V. Gorbenko and J. Maldacena, Bra-ket wormholes in gravitationally prepared states, JHEP 02 (2021) 009 [arXiv:2007.16091] [INSPIRE].
T. Hartman, Y. Jiang and E. Shaghoulian, Islands in cosmology, JHEP 11 (2020) 111 [arXiv:2008.01022] [INSPIRE].
M. Van Raamsdonk, Comments on wormholes, ensembles, and cosmology, arXiv:2008.02259 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2102.06628
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Bintanja, S., Espíndola, R., Freivogel, B. et al. How to make traversable wormholes: eternal AdS4 wormholes from coupled CFT’s. J. High Energ. Phys. 2021, 173 (2021). https://doi.org/10.1007/JHEP10(2021)173
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2021)173