AdS3/CFT2 and Holographic Entanglement Entropy

by Jie-qiang Wu

Overview

This book focuses on AdS₃/CFT₂, addressing different aspects of this correspondence in field theory and in gravity, including entanglement entropy, higher genus partition function, and conformal block. Holographic entanglement entropy is an important area in holographic and quantum information, which implies a deep relation between geometry and quantum entanglement. In this book, the authors use holographic entanglement entropy as a tool to investigate AdS₃/CFT₂. They study the entanglement entropy at high temperature in field theory and in holographics, and show that the results match each other in classical and one-loop order. In the AdS₃/CFT₂ system, they examine in detail the correspondence, exploring the higher genus partition function, entanglement entropy in a general system and conformal block, and they find good correspondence in field theory and gravity. The result strongly supports AdS₃/CFT₂ correspondence. In addition, they develop several important techniques in 2d CFT and 3d gravity, which also offer inspiration for other fields.

Product Details

ISBN-13:	9789811332111
Publisher:	Springer Nature Singapore
Publication date:	10/18/2019
Series:	Springer Theses
Edition description:	1st ed. 2019
Pages:	145
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Jie-qiang Wu received his B.Sc. in Physics from the Department of Physics at Peking University, China in 2012, and his Ph.D. from the Department of Physics at Peking University in August 2017. His major research project in Prof Bin Chen’s group was holographic entanglement entropy. Subsequently, he became a postdoc working with Professor Daniel Harlow in CTP, MIT focusing on AdS/CFT, gravity reconstruction, holographic entanglement entropy and holographic description of other information quantity.

Table of Contents

Background.- Holographic Entanglement Entropy in a Finite System at Finite Temperature.- One Loop Partition Function.- Holographic Entanglement Entropy in a General System.- Conformal Block and the Holographic Description.- Conclusion and Outlook.