Wormholes in Jackiw–Teitelboim gravity

We investigate various aspects of AdS$_2$ wormholes in Jackiw–Teitelboim gravity and their holographic applications. We first study the AdS$_2$ 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 half-plane. 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.