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arXiv 1311.4516hep-th
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从纠缠熵构造空间

Constructing Space From Entanglement Entropy

Michael Spillane

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18 pages, 2 figures
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摘要：

我们明确地重建度量的引力对偶场论使用已知的纠缠熵使用Ryu-Takayanagi公式。我们使用$d = 1$、2和3中的CFT以及长度为$L$的圆上的CFT和温度为$β^{-1}$的热CFT作为示例。给出了1+1维一般纠缠熵度量的泰勒级数的前几个系数以及一些例子（附录B）。二元理论之间的字典的开头自然出现，不需要手工插入。例如，我们被迫使用1+1维CFT的词典条目$c=3R/2G_N$和3+1维中$\mathcal{N}=4$ SYM的词典条目$N^2 = πR^3/2G_N$。上传这篇论文后，我意识到（arXiv：1012.1812），它以类似的方式解决了同样的问题。

英文摘要：

We explicitly reconstruct the metric of a gravity dual to field theories using known entanglement entropies using the Ryu-Takayanagi formula. We use for examples CFT's in $d = 1$, 2 and 3 as well as CFT on a circle of length $L$ and a thermal CFT at temperature $β^{-1}$. We also give the first several coefficients in the Taylor series of the metric for a general entanglement entropy in 1+1 dimensions as well as some examples (Appendix B). The beginnings of a dictionary between the dual theories appears naturally and does not need to be inserted by hand. For example, the dictionary entries $c=3R/2G_N$ for 1+1 dimensional CFT and $N^2 = πR^3/2G_N$ for $\mathcal{N}=4$ SYM in 3+1 dimensions are forced upon us. After uploading this paper I was made aware of (arXiv:1012.1812) which solves the same problem in a similar way.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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