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Hyperbolic fracton model, subsystem symmetry, and holography
https://oist.repo.nii.ac.jp/records/1083
https://oist.repo.nii.ac.jp/records/10837e1b3a2e-908b-4772-8e10-225a5836568a
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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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 |
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書誌情報 |
en : Physical Review B 巻 99, 号 15, p. 155126, 発行日 2019-04-15 |
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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 |