Entanglement Wedge Reconstruction and the Information Paradox - Geoff Penington

Explore the intricacies of the information paradox in AdS/CFT and its resolution through entanglement wedge reconstruction in this comprehensive lecture. Delve into topics such as evaporating black holes, quantum extremal surfaces, and the Page curve. Examine the firewall paradox, state dependence, and the mechanisms of information retrieval from black holes. Gain insights into holographic approaches using the replica trick and compare replica entropy with semiclassical entropy. Investigate a simple toy model to better understand these complex concepts in quantum gravity and holography.

Intro
The information Paradox in AdS/CFT
Evaporating Black Holes
Entanglement Wedge Reconstruction
The Empty Surface
Before the Page Time
After the Page Time
The Entanglement Wedges
Finding the Quantum Extremal Surface
The backreacted metric
The bulk entropy
The Page Curve
The firewall paradox
State Dependence
(Partially) Unknown Initial Microstates
How does the information get out?
Conclusions
A simple toy model
Holographic answer: use replica trick
Replica entropy vs semiclassical entropy