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  1. 学術雑誌論文
  2. シャノンユニット

Hyperbolic fracton model, subsystem symmetry, and holography

https://oist.repo.nii.ac.jp/records/1083
https://oist.repo.nii.ac.jp/records/1083
7e1b3a2e-908b-4772-8e10-225a5836568a
名前 / ファイル ライセンス アクション
PhysRevB.99.155126.pdf PhysRevB.99.155126 (2.4 MB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2019-09-04
タイトル
言語 en
タイトル Hyperbolic fracton model, subsystem symmetry, and holography
言語
言語 eng
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ journal article
著者(英) Yan, Han

× Yan, Han

WEKO 5978

Yan, Han

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書誌情報 en : Physical Review B

巻 99, 号 15, p. 155126, 発行日 2019-04-15
抄録
内容記述タイプ Other
内容記述 We propose that the fracton models with subsystem symmetry can be a class of toy models for the holographic principle. The discovery of the anti–de Sitter/conformal field theory correspondence as a concrete construction of holography and the subsequent developments including the subregion duality and Ryu-Takayanagi formula of entanglement entropy have revolutionized our understanding of quantum gravity and provided powerful tool sets for solving various strongly coupled quantum field theory problems. To resolve many mysteries of holography, toy models can be very helpful. One example is the holographic tensor networks, which illuminate the quantum-error-correcting properties of gravity in the anti–de Sitter space. In this work we discuss a classical toy model featuring subsystem symmetries and immobile fracton excitations. We show that such a model defined on the hyperbolic lattice satisfies some key properties of the holographic correspondence. The correct subregion duality and Ryu-Takayanagi formula for mutual information are established for a connected boundary region. A naively defined black hole's entropy scales as its horizon area. We also present discussions on corrections for more complicated boundary subregions, the possible generalizations of the model, and a comparison with the holographic tensor networks.
出版者
出版者 American Physical Society
ISSN
収録物識別子タイプ ISSN
収録物識別子 2469-9950
ISSN
収録物識別子タイプ ISSN
収録物識別子 2469-9969
DOI
関連タイプ isIdenticalTo
識別子タイプ DOI
関連識別子 info:doi/10.1103/PhysRevB.99.155126
権利
権利情報 ©2019 American Physical Society
関連サイト
識別子タイプ URI
関連識別子 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.155126
著者版フラグ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
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