Holographic teleportation in higher dimensions

• URL: http://arxiv.org/abs/2011.13807v2
• Date: Thu, 8 Apr 2021 09:26:00 GMT
• Title: Holographic teleportation in higher dimensions
• Authors: Byoungjoon Ahn, Yongjun Ahn, Sang-Eon Bak, Viktor Jahnke, and Keun-Young Kim
• Abstract summary: We study higher-dimensional traversable wormholes in the context of Rindler-AdS/CFT. 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 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.
• Score: 1.0439136407307046
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $v_B = \frac{1}{d-1}$.

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