{"title":"Island formula in Planck brane","authors":"Jing-Cheng Chang, Song He, Yu-Xiao Liu, Long Zhao","doi":"10.1007/jhep11(2023)006","DOIUrl":null,"url":null,"abstract":"A bstract Double holography offers a profound understanding of the island formula by describing a gravitational system on AdS d coupled to a conformal field theory on ℝ 1, d− 1 , dual to an AdS d +1 spacetime with an end-of-the-world (EOW) brane. In this work, we extend the proposal in [12] by considering that the dual bulk spacetime has two EOW branes: one with a gravitational system and the other with a thermal bath. We demonstrate an equivalence between this proposal and the wedge holographic theory. We examine it in both Anti-de Sitter gravity and de Sitter gravity by calculating the entanglement entropy of the Hawking radiation. Finally, we employ the doubly holographic model to verify the formula for the entanglement entropy in a subregion within conformally flat spacetime.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":"151 2","pages":"0"},"PeriodicalIF":5.0000,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/jhep11(2023)006","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 5
Abstract
A bstract Double holography offers a profound understanding of the island formula by describing a gravitational system on AdS d coupled to a conformal field theory on ℝ 1, d− 1 , dual to an AdS d +1 spacetime with an end-of-the-world (EOW) brane. In this work, we extend the proposal in [12] by considering that the dual bulk spacetime has two EOW branes: one with a gravitational system and the other with a thermal bath. We demonstrate an equivalence between this proposal and the wedge holographic theory. We examine it in both Anti-de Sitter gravity and de Sitter gravity by calculating the entanglement entropy of the Hawking radiation. Finally, we employ the doubly holographic model to verify the formula for the entanglement entropy in a subregion within conformally flat spacetime.
一个抽象的双全息通过描述一个在AdS d上的引力系统耦合到一个在d−1上的共形场论，对偶到一个具有世界末日(EOW)膜的AdS d +1时空，从而提供了对岛公式的深刻理解。在这项工作中，我们扩展了[12]中的建议，考虑到双体时空具有两个EOW膜:一个具有引力系统，另一个具有热浴。我们证明了这个提议和楔形全息理论之间的等价性。我们通过计算霍金辐射的纠缠熵来检验它在反德西特引力和德西特引力中的作用。最后，我们利用双全息模型验证了共形平坦时空中子区域的纠缠熵公式。
期刊介绍：
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles.
JHEP presently encompasses the following areas of theoretical and experimental physics:
Collider Physics
Underground and Large Array Physics
Quantum Field Theory
Gauge Field Theories
Symmetries
String and Brane Theory
General Relativity and Gravitation
Supersymmetry
Mathematical Methods of Physics
Mostly Solvable Models
Astroparticles
Statistical Field Theories
Mostly Weak Interactions
Mostly Strong Interactions
Quantum Field Theory (phenomenology)
Strings and Branes
Phenomenological Aspects of Supersymmetry
Mostly Strong Interactions (phenomenology).
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