Aspects of holographic entanglement entropy
Aspects of holographic entanglement entropy
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DOI：
10.1088/1126-6708/2006/08/045
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发表时间：
2006-08-01
影响因子：
5.4
通讯作者：
Takayanagi, Tadashi
中科院分区：
文献类型：
--
作者：
Ryu, Shinsei;Takayanagi, Tadashi
这是我们的简短报告[1]的扩展版本，在[1]中，我们从AdS/CFT对应中提出了共形场理论中纠缠熵的全息解释。除了简要回顾了纠缠熵的最新相关进展和前信中省略的细节外，本文还包括以下几个新结果：我们更直接地推导了AdS(3)/CFT2情况下纠缠熵与最小面积曲面的关系，并进一步讨论了高维情况。研究了四维共形场理论中纠缠熵与中心电荷的关系。我们检查了在CFT侧计算的4D纠缠熵的对数部分至少在特定条件下与AdS(5)的结果一致。最后，利用我们的建议估计了一般维度上质量理论的纠缠熵。
This is an extended version of our short report [1], where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant recent progresses of entanglement entropy and details omitted in the earlier letter, this paper includes the following several new results: We give a more direct derivation of our claim which relates the entanglement entropy with the minimal area surfaces in the AdS(3)/CFT2 case as well as some further discussions on higher dimensional cases. Also the relation between the entanglement entropy and central charges in 4D conformal field theories is examined. We check that the logarithmic part of the 4D entanglement entropy computed in the CFT side agrees with the AdS(5) result at least under a specific condition. Finally we estimate the entanglement entropy of massive theories in generic dimensions by making use of our proposal.