Testing holographic entropy inequalities in 2 + 1 dimensions

IF 5.4 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-01-10 DOI:10.1007/JHEP01(2025)065

Brianna Grado-White, Guglielmo Grimaldi, Matthew Headrick, Veronika E. Hubeny

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引用次数: 0

Abstract

We address the question of whether holographic entropy inequalities obeyed in static states (by the RT formula) are always obeyed in time-dependent states (by the HRT formula), focusing on the case where the bulk spacetime is 2 + 1 dimensional. An affirmative answer to this question was previously claimed by Czech-Dong. We point out an error in their proof when the bulk is multiply connected. We nonetheless find strong support, of two kinds, for an affirmative answer in that case. We extend the Czech-Dong proof for simply-connected spacetimes to spacetimes with π₁ = ℤ (i.e. 2-boundary, genus-0 wormholes). Specializing to vacuum solutions, we also numerically test thousands of distinct inequalities (including all known RT inequalities for up to 6 regions) on millions of randomly chosen configurations of regions and bulk spacetimes, including three different multiply-connected topologies; we find no counterexamples. In an appendix, we prove some (dimension-independent) facts about degenerate HRT surfaces and symmetry breaking.

A video abstract is available at https://www.youtube.com/watch?v=ols92YU8rus.

查看原文本刊更多论文

测试全息熵不等式在2 + 1维度

我们解决了在静态状态下（通过RT公式）遵循的全息熵不等式是否总是在依赖时间的状态下（通过HRT公式）遵循的问题，重点关注体时空为2 + 1维的情况。捷克-东曾要求对这个问题作出肯定的答复。我们指出了他们的证明中的一个错误，即当主体是多重连接时。尽管如此，我们在这一问题上得到了两方面的有力支持。我们将单连通时空的Czech-Dong证明推广到π1 = 0（即2边界，属0虫洞）的时空。专门从事真空解决方案，我们还在数百万个随机选择的区域和大块时空配置上对数千种不同的不等式（包括多达6个区域的所有已知RT不等式）进行数值测试，包括三种不同的多重连接拓扑；我们找不到反例。在附录中，我们证明了关于简并HRT曲面和对称破缺的一些（与维数无关的）事实。视频摘要可在https://www.youtube.com/watch?v=ols92YU8rus上获得。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

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).