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arXiv 2108.10345hep-th
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寻找(而不是找到)一个大块膜

Looking for (and not finding) a bulk brane

Wyatt Reeves, Moshe Rozali, Petar Simidzija, James Sully, Christopher Waddell, David Wakeham

摘要:

什么时候一个加了边界的全息CFT(BCFT)也有一个“好的”全息对偶,它有一个定域的引力世界末日膜?我们认为,这个问题的答案几乎是永远不会。通过研究Lorentzian BCFT算子,我们描述了由大量因果结构的存在对BCFT施加的约束。我们认为,近似的“体膜”奇点的限制性约束的频谱BCFT,预计不会是真正的一般。我们讨论了如何类似的约束暗示散装因果关系可能适用于高维全息描述的BCFTs涉及退化的内部空间。我们认为(尽管没有证明)即使是这些更高维度的全息对偶也不是通用的。

英文摘要:

When does a holographic CFT with a boundary added to it (a BCFT) also have a `good' holographic dual with a localized gravitating end-of-the-world brane? We argue that the answer to this question is almost never. By studying Lorentzian BCFT correlators, we characterize constraints imposed on a BCFT by the existence of a bulk causal structure. We argue that approximate `bulk brane' singularities place restrictive constraints on the spectrum of a BCFT that are not expected to be true generically. We discuss how similar constraints implied by bulk causality might apply in higher-dimensional holographic descriptions of BCFTs involving a degenerating internal space. We suggest (although do not prove) that even these higher-dimensional holographic duals are not generic.

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