Speaker
Description
In the coarse-grained semiclassical limit, the two-sided two-point functions in the thermofield double state decay exponentially at late times. The decay is intimately tied to the existence of black holes in the dual bulk description and signals a loss of information. Necessitated by the chaotic behaviour of black holes, we refine the semiclassical limit by adding a universal non-perturbative correction to the CFT density of states. This correction stops the late-time decay of the correlation functions. Expanding the resulting late-time expression in a double-scaled limit, we obtain a series in powers of the boundary time and the black hole entropy. We then present a bulk calculation that reproduces this series. The origin of the non-perturbative correction can be traced to an infinite number of complex constrained instanton configurations. We will also discuss how our results fit perfectly with the principle of black hole complementarity.
