AdS3/CFT2与全息纠缠熵-AdS3/CFT2 and Holographic Entanglement Entropy

标题（title）：AdS3/CFT2 and Holographic Entanglement Entropy
AdS3/CFT2与全息纠缠熵
作者（author）：Jie-qiang Wu
出版社（publisher）：Springer Singapore
大小（size）：2 MB (2550799 bytes)
格式（extension）：pdf
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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.




Table of contents :
Front Matter ....Pages i-x
Background (Jie-qiang Wu)....Pages 1-43
Finite Temperature Entanglement Entropy and Its Holographic Description (Jie-qiang Wu)....Pages 45-80
1-Loop Partition Function (Jie-qiang Wu)....Pages 81-108
Entanglement Entropy for a General State in \(AdS_3/CFT_2\) (Jie-qiang Wu)....Pages 109-122
Holographic Description of Conformal Block (Jie-qiang Wu)....Pages 123-142
Conclusion and Outlook (Jie-qiang Wu)....Pages 143-145