Entanglement surfaces for rotating cylindrical black holes

Abstract: We construct entanglement surfaces for rotating cylindrical black holes in a double holographic setup, extending previous results to the case of stationary backgrounds. We analyze both the 5d braneworld construction as well as the embedding in 10d type IIB string theory. We couple the rotating cylindrical black hole to a non-gravitating bath, and study island and Hartman-Maldacena surfaces. Properties of island surfaces are characterized by three regimes, bounded by two critical parameters. In addition to the critical value known for the static case, we find that a new one emerges, related to the extremal limit of the rotating black hole. This behaviour is present both for the bottom-up as well as the top-down models, for which we find qualitative agreement.