Advertisement

AdS3/CFT2 and Holographic Entanglement Entropy

  • Jie-qiang Wu
Book
  • 543 Downloads

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-x
  2. Jie-qiang Wu
    Pages 1-43
  3. Jie-qiang Wu
    Pages 81-108
  4. Jie-qiang Wu
    Pages 123-142
  5. Jie-qiang Wu
    Pages 143-145

About this book

Introduction

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.

Keywords

Quantum gravity $AdS_3/CFT_2$ holographic entanglement entropy higher genus partition function Wilson line prescription Schottky Uniformization

Authors and affiliations

  • Jie-qiang Wu
    • 1
  1. 1.Peking UniversityBeijingChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-3212-8
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-981-13-3211-1
  • Online ISBN 978-981-13-3212-8
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site