Construction of higher dimensional spacetime from field theories with the gradient flow
| Project/Area Number |
18K03620
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
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| Research Institution | Osaka University |
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Principal Investigator |
Onogi Tetsuya 大阪大学, 大学院理学研究科, 教授 (70211802)
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| Project Period (FY) |
2018-04-01 – 2023-03-31
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| Project Status |
Completed (Fiscal Year 2022)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 高次元 / フロー方程式 / 一般相対論 / 保存量 / Flow 方程式 / AdS/CFT / フロー / APS指数 / ドメインウォール / AdS時空 / 有限温度 / アノマリー / Domain-Wall / Chern-Simons / トポロジカル相 / グラディエント・フロー / 高次元時空 |
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| Outline of Final Research Achievements |
The purpose of this research is to construct higher-dimensional spacetime from field theory using flow equation.we also obtained research results.
1) In the d-dimensional massless scalar field theory, we obtain a spacetime with no event horizon and exotic matter field energy-momentum tensor for finite temperature. In addition,we proposed "Special Flow", which is an extension of the Flow equation. The space-time constructed using this clearly has the isometry of the AdS space as symmetry.
2)We studied energy conservation in general relativity. We show that the energy-momentum tensor multiplied by a new class of vector fields gives conserved quantities without global symmetry, and that such vector fields can always be constructed. We showed that the homogeneous isotropic universe satisfies the first law of thermodynamics, which can be interpreted as entropy. Furthermore, as an extension of this research, a comparison with conventional quasi-local energies was made.
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| Academic Significance and Societal Importance of the Research Achievements |
AdS/CFT対応の場の理論からの理解につながると期待されるフロー方程式とその拡張によって様々な結果が得られた。特にGKP-Witten関係式を場の理論から導出したことは今後の発展につながると期待される。また副産物として得られた一般相対性理論における新しいエネルギー保存量を発見した。従来に知られていた保存量とは独立な保存量で重力系に対して新しい知見を与えると期待される。
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Report
(6 results)
Research Products
(20 results)
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[Journal Article] FLAG Review 20212022
Author(s)
Y. Aoki, T. Onogi, et al.
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Journal Title
Eur. Phys. J. C
Volume: 82
Issue: 10
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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[Journal Article] Atiyah-Patodi-Singer index on a lattice2020
Author(s)
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki, Makito Mori, Katsumasa Nakayama, Tetsuya Onogi, Satoshi Yamaguchi
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Journal Title
PTEP
Volume: 4
Issue: 4
Pages: 1-11
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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