The Replica Trick in Quantum Gravity: From the Ryu-Takayanagi formula to Islands

Abstract: Starting with the famous Lewkowycz-Maldacena derivation of the Ryu-Takayanagi formula, the replica trick has played a central role in teaching us about entanglement and entropy in quantum gravity. I will review these ideas, showing how a semiclassical analysis leads to the quantum extremal surface prescription, entanglement wedge reconstruction, and eventually to the recent derivations of the Page curve in evaporating black holes.

astrophysicscondensed mattergeneral relativity and quantum cosmologyHEP - phenomenologyHEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

Quantum Aspects of Space-Time and Matter