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 …

The advent of gravitational waves and black hole imaging has opened a new window into
probing the horizon scale of black holes. An important question is whether string theory …

A bstract When absorbing boundary conditions are used to evaporate a black hole in
AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu …

A bstract In ordinary gravitational theories, any local bulk operator in an entanglement
wedge is accompanied by a long-range gravitational dressing that extends to the asymptotic …

A bstract Quantum error correction has given us a natural language for the emergence of
spacetime, but the black hole interior poses a challenge for this framework: at late times the …

A bstract We consider quantum algebras of observables associated with subregions in
theories of Einstein gravity coupled to matter in the GN→ 0 limit. When the subregion is …

I argue that a version of the quantum-corrected Ryu–Takayanagi formula holds in any
quantum error-correcting code. I present this result as a series of theorems of increasing …

Abstract The LIGO and Virgo Interferometers have so far provided 11 gravitational-wave
(GW) observations of black-hole binaries. Similar detections are bound to become very …

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 …

These lectures review recent developments in our understanding of the emergence of local
bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field …