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arXiv 1702.01748hep-thgr-qc
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因果全息信息没有简单的对偶?

No Simple Dual to the Causal Holographic Information?

Netta Engelhardt, Aron C. Wall

摘要:

在AdS/CFT中,边界区域的细粒度熵与块体中的极值表面X的面积是对偶的。有人提出,某个“因果表面”C的面积-即“因果全息信息”(CHI)-对应于边界理论中的某些粗粒度熵。我们构造了两种反例,排除了各种可能的错误,使用(1)真空刚性和(2)热淬火。这包括凯利和沃尔提出的“一点熵”,以及一大类相关的程序。此外,任何修复以C为界的大块“因果楔形”几何形状的粗粒化都无法重现CHI。这与全息纠缠熵形成了鲜明的对比,在全息纠缠熵中,极端表面X的面积测量的信息与在由X限定的“纠缠楔”中发现的信息相同。

英文摘要:

In AdS/CFT, the fine grained entropy of a boundary region is dual to the area of an extremal surface X in the bulk. It has been proposed that the area of a certain 'causal surface' C - i.e. the 'causal holographic information' (CHI) - corresponds to some coarse-grained entropy in the boundary theory. We construct two kinds of counterexamples that rule out various possible duals, using (1) vacuum rigidity and (2) thermal quenches. This includes the 'one-point entropy' proposed by Kelly and Wall, and a large class of related procedures. Also, any coarse-graining that fixes the geometry of the bulk 'causal wedge' bounded by C, fails to reproduce CHI. This is in sharp contrast to the holographic entanglement entropy, where the area of the extremal surface X measures the same information that is found in the 'entanglement wedge' bounded by X.

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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