Rescuing a black hole in the large-q coupled SYK model

A bstract In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with time-dependent bilinear coupling. For quantum quench problem an initial state thermofield double state, show how evolution system is described by complex reparametrization field classical Hamiltonian. We study correlation functions in and compare large- q bulk low energy theory. particular, special case “rescued black hole”, which describes time-evolved can evolve to ground coupled SYK carefully tuned region, there holographic dual interpretation, geometry that crosses over from eternal hole global AdS 2 vacuum. This family geometries allow us access region would be interior without rescue process. By comparing theory, find even deviation cannot neglected if process starts late. provides evidence fails near inner horizon hole. note possibility connection two-dimensional analog higher-dimensional singularity.