Traversable wormholes via a double trace deformation involving $U(1)$ conserved current operators

TL;DR

This paper investigates how conservation laws, specifically $U(1)$ currents, can make wormholes traversable by violating energy conditions, with implications for quantum teleportation and information transfer.

Contribution

It demonstrates that coupling boundary $U(1)$ currents in a black brane geometry makes the wormhole traversable by violating the ANEC, linking charge diffusion to wormhole opening.

Findings

Wormholes become traversable when coupled via $U(1)$ currents.

The wormhole opening depends on the charge diffusion constant.

Implications for quantum teleportation protocols with conserved currents.

Abstract

We study the effects of conservation laws on wormholes that are made traversable by a double trace deformation. After coupling the two asymptotic boundaries of a maximally extended $(d+1)$ dimensional black brane geometry with $U(1)$ conserved current operators, we find that the quantum matter stress-energy tensor of the corresponding bulk gauge fields in the hydrodynamic limit violates the averaged null energy condition (ANEC), rendering the wormhole traversable. Applying our results to axionic two-sided black hole solutions, we discuss how the wormhole opening depends on the charge diffusion constant, how this affects the amount of information that can be sent through the wormhole, and possible implications for many-body quantum teleportation protocols involving conserved current operators.