Traversable Wormhole in AdS and Entanglement

TL;DR

This paper extends the concept of traversable wormholes to AdS spacetime, demonstrating their realization with non-exotic matter and analyzing entanglement entropy phase transitions via AdS/CFT correspondence.

Contribution

It generalizes traversable wormhole solutions to AdS space and explores entanglement entropy behavior in this context, linking geometry and quantum information.

Findings

Traversable wormholes with spherical and planar topologies in AdS.

Entanglement entropy exhibits phase transitions with subsystem size.

Wormholes can be realized without exotic matter in AdS settings.

Abstract

A traversable wormhole generally violates the averaged null energy condition, usually requiring exotic matter. Recently, it has been found that the traversable wormhole can be realized by non-exotic matter in Einstein-Dirac-Maxwell theories in flat space. This paper generalizes discussions to the AdS spacetime and finds traversable wormholes with spherical and planar topologies. Furthermore, based on the AdS/CFT correspondence, we compute the entanglement entropy of strips and disks on two AdS boundaries of the wormhole. We find that entanglement entropy undergoes a phase transition as the subsystem size increases.