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arXiv 1805.00523hep-thgr-qc
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将边界拉入主体

Pulling the Boundary into the Bulk

Yasunori Nomura, Pratik Rath, Nico Salzetta

备注：
20 pages, 11 figures; clarifications added; Appendix C updated in v3
发表信息：
Phys. Rev. D 98, 026010 (2018)
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摘要：

出于一贯适用于一般凸曲面的Ryu-Takayanagi处方以及张量网络中纠缠与几何之间的关系的能力，我们引入了一种新的协变体对象-全息切片。全息切片是通过考虑在边界状态下短程信息的连续去除而得到的。因此，它提供了一个自然的解释，作为一系列粗粒度全息态的体对偶。切片具有许多理想的属性，这些属性为其边界解释提供一致性检查。这些包括单调性的面积和纠缠熵，唯一性，以及无法探测超越晚期黑洞的视野。此外，全息切片照亮了纠缠阴影背后的物理学，因为锚定到粗粒度边界的最小面积极值表面可以探测纠缠阴影。这将使切片流过阴影。为了帮助发展这些切片的直觉，全息切片的许多明确的例子进行了研究。最后，张量网络和重整化（特别是在AdS/CFT）的关系进行了讨论。

英文摘要：

Motivated by the ability to consistently apply the Ryu-Takayanagi prescription for general convex surfaces and the relationship between entanglement and geometry in tensor networks, we introduce a novel, covariant bulk object - the holographic slice. The holographic slice is found by considering the continual removal of short range information in a boundary state. It thus provides a natural interpretation as the bulk dual of a series of coarse-grained holographic states. The slice possesses many desirable properties that provide consistency checks for its boundary interpretation. These include monotonicity of both area and entanglement entropy, uniqueness, and the inability to probe beyond late-time black hole horizons. Additionally, the holographic slice illuminates physics behind entanglement shadows, as minimal area extremal surfaces anchored to a coarse-grained boundary may probe entanglement shadows. This lets the slice flow through shadows. To aid in developing intuition for these slices, many explicit examples of holographic slices are investigated. Finally, the relationship to tensor networks and renormalization (particularly in AdS/CFT) is discussed.

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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