We review recent progress on the information paradox. We explain why exponentially small
correlations in the radiation emitted by a black hole are sufficient to resolve the original …

In holographic duality an eternal Anti-de Sitter black hole is described by two copies of the
boundary Conformal Field Theory in the thermal field double state. In this paper we provide …

We consider an AdS $ _2 $ black hole in equilibrium with a bath, which we take to have a
dual description as (0+ 1)-dimensional quantum mechanical system coupled to a (1+ 1) …

A bstract We argue that the late time behavior of horizon fluctuations in large anti-de Sitter
(AdS) black holes is governed by the random matrix dynamics characteristic of quantum …

It has been suggested in recent work that the Page curve of Hawking radiation can be
recovered using computations in semi-classical gravity provided one allows for" islands" in …

In finite entropy systems, real-time partition functions do not decay to zero at late time.
Instead, assuming random matrix universality, suitable averages exhibit a growing" ramp" …

We construct an infinite family of microstates with geometric interiors for eternal black holes
in general relativity with a negative cosmological constant in any dimension. Wormholes in …

A bstract In this note we study the 1+ 1 dimensional Jackiw-Teitelboim gravity in Lorentzian
signature, explicitly constructing the gauge-invariant classical phase space and the quantum …

Quantum black holes are described by a large number of macroscopically indistinguishable
microstates. Correlation functions of fields outside the horizon at long time separation probe …

In an ordinary quantum field theory, the'split property'implies that the state of the system can
be specified independently on a bounded subregion of a Cauchy slice and its complement …