二维CFT及以后的几何模流

IF 5.5 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-08-20 DOI:10.1007/JHEP08(2025)166

Jacqueline Caminiti, Federico Capeccia, Luca Ciambelli, Robert C. Myers

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引用次数: 0

摘要

在二维共形场理论中研究几何模流。我们探索哪些状态表现出相对于因果完备子区域的几何模流，反过来，如何从给定的几何模流构建状态。在给定合适的边界条件下，我们发现伦德勒楔中的一般几何模流是保形等价的。基于这一见解，我们将展示如何使用共形单一性来显式地为每个流构建状态。我们分析了这些状态，推导了能量密度和纠缠熵的一般公式。我们也考虑几何流动超出伦德勒楔形设置，并在更高的维度。

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Geometric modular flows in 2d CFT and beyond

We study geometric modular flows in two-dimensional conformal field theories. We explore which states exhibit a geometric modular flow with respect to a causally complete subregion and, conversely, how to construct a state from a given geometric modular flow. Given suitable boundary conditions, we find that generic geometric modular flows in the Rindler wedge are conformally equivalent. Based on this insight, we show how conformal unitaries can be used to explicitly construct a state for each flow. We analyze these states, deriving general formulas for the energy density and entanglement entropy. We also consider geometric flows beyond the Rindler wedge setting, and in higher dimensions.

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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).