Holographic Entanglement Entropy

• Main Authors: Rangamani, Mukund (Author), Takayanagi, Tadashi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Physics, 931
• Subjects: Physics.; Mathematical physics.; Quantum field theory.; String theory.; Condensed matter.; Quantum computers.; Spintronics.; Quantum Field Theories, String Theory.; Condensed Matter Physics.; Quantum Information Technology, Spintronics.; Mathematical Physics.

This book provides a comprehensive overview of developments in the field of holographic entanglement entropy. Within the context of the AdS/CFT correspondence, it is shown how quantum entanglement is computed by the area of certain extremal surfaces. The general lessons one can learn from this conne...

Table of Contents:

• Acknowledgments
• Introduction
• I Quantum Entanglement
• Entanglement in QFT
• Entanglement entropy in CFT2
• Single interval in CFT2
• II Holography and entanglement
• Holographic entanglement entropy.-Deriving holographic entanglement proposals
• Properties of holographic entanglement entropy
• III Entanglement and quantum dynamics
• Quantum quenches and entanglement
• Entanglement in excited states
• Holographic many body systems
• Entanglement and renormalization
• IV Quantum Gravity
• Prelude: Entanglement builds Geometry
• Entanglement at large central charge
• Geometry from entanglement
• AdS/CFT and tensor networks.