Abstract
We construct a traversable wormhole from a charged AdS black hole by adding a coupling between the two boundary theories. We investigate how the effect of this deformation behaves in the extremal limit of the black hole. The black holes have finite entropy but an infinitely long throat in the extremal limit. We argue that it is still possible to make the throat traversable even in the extremal limit, but this requires either tuning the field for which we add a boundary coupling close to an instability threshold or scaling the strength of the coupling inversely with the temperature. In the latter case we show that the amount of information that can be sent through the wormhole scales with the entropy.
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References
J.M. Maldacena, Eternal black holes in anti-de Sitter, JHEP 04 (2003) 021 [hep-th/0106112] [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].
L. Susskind and Y. Zhao, Teleportation through the wormhole, Phys. Rev. D 98 (2018) 046016 [arXiv:1707.04354] [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].
E. Caceres, A.S. Misobuchi and M.-L. Xiao, Rotating traversable wormholes in AdS, JHEP 12 (2018) 005 [arXiv:1807.07239] [INSPIRE].
T. Andrade, S. Fischetti, D. Marolf, S.F. Ross and M. Rozali, Entanglement and correlations near extremality: CFTs dual to Reissner-Nordström AdS5 , JHEP 04 (2014) 023 [arXiv:1312.2839] [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].
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].
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].
D. Bak, C. Kim and S.-H. Yi, Bulk view of teleportation and traversable wormholes, JHEP 08 (2018) 140 [arXiv:1805.12349] [INSPIRE].
D. Marolf and J. Polchinski, Gauge/gravity duality and the black hole interior, Phys. Rev. Lett. 111 (2013) 171301 [arXiv:1307.4706] [INSPIRE].
V. Balasubramanian, M. Berkooz, S.F. Ross and J. Simon, Black holes, entanglement and random matrices, Class. Quant. Grav. 31 (2014) 185009 [arXiv:1404.6198] [INSPIRE].
H. Verlinde, ER = EPR revisited: on the entropy of an Einstein-Rosen bridge, arXiv:2003.13117 [INSPIRE].
A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev. D 60 (1999) 064018 [hep-th/9902170] [INSPIRE].
T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces, and AdS2 , Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].
A. Almheiri and J. Polchinski, Models of AdS2 backreaction and holography, JHEP 11 (2015) 014 [arXiv:1402.6334] [INSPIRE].
J. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two dimensional nearly anti-de-Sitter space, PTEP 2016 (2016) 12C104 [arXiv:1606.01857] [INSPIRE].
J. Engelsöy, T.G. Mertens and H. Verlinde, An investigation of AdS2 backreaction and holography, JHEP 07 (2016) 139 [arXiv:1606.03438] [INSPIRE].
P. Nayak, A. Shukla, R.M. Soni, S.P. Trivedi and V. Vishal, On the dynamics of near-extremal black holes, JHEP 09 (2018) 048 [arXiv:1802.09547] [INSPIRE].
S.S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [INSPIRE].
S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a holographic superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [INSPIRE].
M. Ammon and J. Erdmenger, Gauge/gravity duality: foundations and applications, Cambridge University Press, Cambridge, U.K. (2015).
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].
H.W. Lin, J. Maldacena and Y. Zhao, Symmetries near the horizon, JHEP 08 (2019) 049 [arXiv:1904.12820] [INSPIRE].
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Fallows, S., Ross, S.F. Making near-extremal wormholes traversable. J. High Energ. Phys. 2020, 44 (2020). https://doi.org/10.1007/JHEP12(2020)044
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DOI: https://doi.org/10.1007/JHEP12(2020)044