München 2019 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 1: Tutorial Quantum Information and Entanglement (joint session AKjDPG/MP)

MP 1.2: Tutorium

Sonntag, 17. März 2019, 17:00–18:00, HS 2

The role of Entanglement in AdS/CFT — •Mario Flory — Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland

In this tutorial, we start with an accessible introduction to the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, which is a conjecture that relates the physics of a quantum field theory with conformal symmetry to the physics of a higher dimensional gravity theory with a negative cosmological constant. One result of particular importance in AdS/CFT is the Ryu-Takayanagi formula, which equates entanglement entropy on the CFT-side of the correspondence to a generalisation of the Bekenstein-Hawking black hole entropy on the AdS-side. We will explore how this result shapes our modern understanding of the AdS/CFT correspondence, and of how the curved geometry of the AdS-space arises from quantum information theoretic aspects of a CFT.