Traversable wormholes and conservation laws

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 an eternal (d + 1) dimensional AdS-Schwarzschild black hole with U(1) conserved current operators,
we find that the corresponding quantum matter stress-energy tensor violates the average null energy condition (ANEC) in the bulk, rendering the wormhole traversable.
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.