arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~

dS₃/ICFT₂中纠缠伪熵的全息计算检验

Testing holographic computation of entanglement pseudo-entropy in dS3/ICFT2

Liang Li

arXiv 2608.26997首次发表:更新:

发表机构

Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University(京都大学汤川理论物理研究所引力物理与量子信息中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究建立基于Coleman-De Luccia瞬子的dS/ICFT对应自下而上引力模型,分析全息伪熵计算方案的悖论,与AdS/ICFT结果对比并提取g函数。

AI 中文摘要

我们在引力侧建立了一个自下而上的模型,用于研究“潜在的”德西特/界面共形场论(dS/ICFT)对应关系,采用Coleman-De Luccia瞬子。通过膜吸收暴胀子剧烈变化的区域后,时空由两个半径不同的德西特时空组成,二者通过膜连接;若dS/CFT猜想正确,该时空预期对偶于一个界面共形场论。我们的目标是分析现有全息伪熵计算方案(即此类时空中的极值曲面),论证其中部分方案会与界面共形场论普适性质的预期结果产生悖论,并在解析延拓后将我们的结果与反德西特/界面共形场论对应关系(AdS/ICFT)的结果进行比较。我们还从与界面垂直的子区域相关的纠缠熵中提取g函数。

英文摘要

We establish a bottom-up model for studying the `would-be' de-Sitter/interface CFT (dS/ICFT) correspondence on the gravity side, using the Coleman-De Luccia instanton. After absorbing the region where the inflaton changes dramatically by a brane, the spacetime consists of two de Sitter spacetimes with different radii joined by a brane, which is expected to be dual to an interface CFT provided that the dS/CFT conjecture is correct. Our goal is to analyze existing prescriptions for the holographic computation of pseudo-entropy, i.e. the extremal surface in such a spacetime and argue that some of them would cause parodox with the results expected the universal properties of interface CFT and compare our results with that of Anti de Sitter/interface CFT correspondence (AdS/ICFT) after analytic continuation. We also read off the $g$-function from the entanglement entropy associated with a subregion perpendicular to the interface.

Comments23 pages, 9 figures; v2 references added, typos corrected

论文原文

arXiv 摘要页 · PDF 原文 · HTML 原文

↑