Worldsheet traversable wormholes

TL;DR

This paper constructs worldsheet traversable wormholes in AdS space using a double-trace deformation, enhancing information transfer in holographic teleportation protocols and comparing different deformation types.

Contribution

It introduces a new method to create traversable wormholes on the string worldsheet via an irrelevant double-trace deformation, improving teleportation efficiency.

Findings

Enhanced information transfer between dual Bell pair members.

Comparison shows differences between relevant and irrelevant double-trace deformations.

The deformation induces boundary bending towards the IR, facilitating wormhole traversal.

Abstract

We construct worldsheet traversable wormholes by considering the effects of a double-trace deformation, $\delta\mathcal{L}\sim h\partial\phi_L\partial\phi_R$, coupling the endpoints of an open string in AdS space. The operator deforming the theory is irrelevant and makes the boundaries bend inward toward the IR. This effect, reminiscent of two-dimensional dilaton gravities, renders the teleportation protocol more efficient and facilitates the transfer of information between the members of the dual Bell pair. We compare our results with those obtained with the standard double-trace deformation, $\delta\mathcal{L}\sim h\phi_L\phi_R$, introduced by Gao, Jafferis and Wall.