Holographic teleportation in higher dimensions

TL;DR

This paper explores higher-dimensional traversable wormholes within the Rindler-AdS/CFT framework, demonstrating how double trace deformations enable traversability, analyzing information transfer limits, and calculating butterfly speeds in these spacetimes.

Contribution

It generalizes the Gao-Jafferis-Wall traversability mechanism to higher dimensions and provides analytic formulas for ANEC violation and information transfer bounds.

Findings

Wormholes can be made traversable via double trace deformations in higher dimensions.

The bound on information transfer decreases with increasing spacetime dimension.

Information propagates with butterfly speed $v_B = 1/(d-1)$ under certain conditions.

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 $v_B = \frac{1}{d-1}$.