Abstract
We study higher-dimensional traversable wormholes in the context of Rindler-AdS/CFT. The hyperbolic slicing of a pure AdS geometry can be thought of as a topological black hole that is dual to a conformal field theory in the hyperbolic space. The maximally extended geometry contains two exterior regions (the Rindler wedges of AdS) which are connected by a wormhole. We show that this wormhole can be made traversable by a double trace deformation that violates the average null energy condition (ANEC) in the bulk. We find an analytic formula for the ANEC violation that generalizes Gao-Jafferis-Wall result to higher-dimensional cases, and we show that the same result can be obtained using the eikonal approximation. We show that the bound on the amount of information that can be transferred through the wormhole quickly reduces as we increase the dimensionality of spacetime. We also compute a two-sided commutator that diagnoses traversability and show that, under certain conditions, the information that is transferred through the wormhole propagates with butterfly speed \( {\upsilon}_B=\frac{1}{d-1} \).
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References
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
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].
J. Maldacena, D. Stanford and Z. Yang, Diving into traversable wormholes, Fortsch. Phys. 65 (2017) 1700034 [arXiv:1704.05333] [INSPIRE].
P. Gao and D.L. Jafferis, A traversable wormhole teleportation protocol in the SYK model, arXiv:1911.07416 [INSPIRE].
A. Almheiri, A. Mousatov and M. Shyani, Escaping the interiors of pure boundary-state black holes, arXiv:1803.04434 [INSPIRE].
E. Caceres, A.S. Misobuchi and M.-L. Xiao, Rotating traversable wormholes in AdS, JHEP 12 (2018) 005 [arXiv:1807.07239] [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. Bak, C. Kim and S.-H. Yi, Transparentizing black holes to eternal traversable wormholes, JHEP 03 (2019) 155 [arXiv:1901.07679] [INSPIRE].
D. Bak, C. Kim and S.-H. Yi, Experimental probes of traversable wormholes, JHEP 12 (2019) 005 [arXiv:1907.13465] [INSPIRE].
J. Couch, S. Eccles, P. Nguyen, B. Swingle and S. Xu, Speed of quantum information spreading in chaotic systems, Phys. Rev. B 102 (2020) 045114 [arXiv:1908.06993] [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].
S. Fallows and S.F. Ross, Making near-extremal wormholes traversable, JHEP 12 (2020) 044 [arXiv:2008.07946] [INSPIRE].
H. Geng, Non-local entanglement and fast scrambling in de-Sitter holography, Annals Phys. 426 (2021) 168402 [arXiv:2005.00021] [INSPIRE].
T. Nosaka and T. Numasawa, Chaos exponents of SYK traversable wormholes, JHEP 02 (2021) 150 [arXiv:2009.10759] [INSPIRE].
A. Levine, A. Shahbazi-Moghaddam and R.M. Soni, Seeing the entanglement wedge, JHEP 06 (2021) 134 [arXiv:2009.11305] [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].
D. Marolf and S. McBride, Simple perturbatively traversable wormholes from bulk fermions, JHEP 11 (2019) 037 [arXiv:1908.03998] [INSPIRE].
A. Al Balushi, Z. Wang and D. Marolf, Traversability of multi-boundary wormholes, JHEP 04 (2021) 083 [arXiv:2012.04635] [INSPIRE].
R. Emparan, B. Grado-White, D. Marolf and M. Tomasevic, Multi-mouth traversable wormholes, JHEP 05 (2021) 032 [arXiv:2012.07821] [INSPIRE].
N. Bao, A. Chatwin-Davies, J. Pollack and G.N. Remmen, Traversable wormholes as quantum channels: exploring CFT entanglement structure and channel capacity in holography, JHEP 11 (2018) 071 [arXiv:1808.05963] [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].
A.M. García-García, T. Nosaka, D. Rosa and J.J.M. Verbaarschot, Quantum chaos transition in a two-site Sachdev-Ye-Kitaev model dual to an eternal traversable wormhole, Phys. Rev. D 100 (2019) 026002 [arXiv:1901.06031] [INSPIRE].
T. Numasawa, Four coupled SYK models and nearly AdS2 gravities: phase transitions in traversable wormholes and in bra-ket wormholes, arXiv:2011.12962 [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].
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].
R. Emparan, AdS/CFT duals of topological black holes and the entropy of zero energy states, JHEP 06 (1999) 036 [hep-th/9906040] [INSPIRE].
B. Czech, J.L. Karczmarek, F. Nogueira and M. Van Raamsdonk, Rindler quantum gravity, Class. Quant. Grav. 29 (2012) 235025 [arXiv:1206.1323] [INSPIRE].
M. Van Raamsdonk, Lectures on gravity and entanglement, in Theoretical Advanced Study Institute in elementary particle physics: new frontiers in fields and strings, World Scientific, Singapore (2016) [arXiv:1609.00026] [INSPIRE].
D. Harlow, TASI lectures on the emergence of bulk physics in AdS/CFT, PoS TASI2017 (2018) 002 [arXiv:1802.01040] [INSPIRE].
M. Ammon and J. Erdmenger, Gauge/gravity duality, Cambridge Univ. Pr., Cambridge, U.K. (2015).
S.H. Shenker and D. Stanford, Stringy effects in scrambling, JHEP 05 (2015) 132 [arXiv:1412.6087] [INSPIRE].
D.N. Kabat and M. Ortiz, Eikonal quantum gravity and Planckian scattering, Nucl. Phys. B 388 (1992) 570 [hep-th/9203082] [INSPIRE].
Y. Ahn, V. Jahnke, H.-S. Jeong and K.-Y. Kim, Scrambling in hyperbolic black holes: shock waves and pole-skipping, JHEP 10 (2019) 257 [arXiv:1907.08030] [INSPIRE].
L. Cornalba, M.S. Costa, J. Penedones and R. Schiappa, Eikonal approximation in AdS/CFT: from shock waves to four-point functions, JHEP 08 (2007) 019 [hep-th/0611122] [INSPIRE].
N. Engelhardt and A.C. Wall, Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime, JHEP 01 (2015) 073 [arXiv:1408.3203] [INSPIRE].
H.Z. Chen, R.C. Myers, D. Neuenfeld, I.A. Reyes and J. Sandor, Quantum extremal islands made easy. Part II. Black holes on the brane, JHEP 12 (2020) 025 [arXiv:2010.00018] [INSPIRE].
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ArXiv ePrint: 2011.13807
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Ahn, B., Ahn, Y., Bak, SE. et al. Holographic teleportation in higher dimensions. J. High Energ. Phys. 2021, 219 (2021). https://doi.org/10.1007/JHEP07(2021)219
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DOI: https://doi.org/10.1007/JHEP07(2021)219