Wormholes in Jackiw—Teitelboim Gravity

Аннотация

We investigate various aspects of AdS₂ wormholes in Jackiw—Teitelboim gravity and their holographic applications. We first study the AdS₂ space in global coordinates traversable by virtue of the presence of pointlike matter violating the dominant energy condition. We calculate the evolution of the entanglement entropy in such a system. We then investigate the construction proposed by Verlinde and colleagues describing states similar to wormholes. These states are called partially entangled thermal states. We propose a construction similar to the geometries of such states using conformal maps of the upper halfplane. We study correlation functions in theories dual to such geometries and also comment on the possible connection between a special type of partially entangled thermal states and violation of replica symmetry.