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Holography in de Sitter Space via Chern-Simons Gauge Theory
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- Hikida, Yasuaki
- Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University
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- Nishioka, Tatsuma
- Department of Physics, Osaka University
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- Takayanagi, Tadashi
- Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University; Inamori Research Institute for Science; Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo
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- Taki, Yusuke
- Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University
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Description
In this Letter, we propose a holographic duality for classical gravity on a three-dimensional de Sitter space. We first show that a pair of SU(2) Chern-Simons gauge theories reproduces the classical partition function of Einstein gravity on a Euclidean de Sitter space, namely S³, when we take the limit where the level k approaches −2. This implies that the conformal field theory (CFT) dual of gravity on a de Sitter space at the leading semiclassical order is given by an SU(2) Wess-Zumino-Witten model in the large central charge limit k→−2. We give another evidence for this in the light of known holography for coset CFTs. We also present a higher spin gravity extension of our duality.
Journal
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- Physical Review Letters
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Physical Review Letters 129 (4), 2022-07
American Physical Society (APS)
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Keywords
Details 詳細情報について
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- CRID
- 1050292936859918208
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- NII Book ID
- AA00773679
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- ISSN
- 10797114
- 00319007
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- HANDLE
- 2433/275597
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- PubMed
- 35939023
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- Crossref
- KAKEN
- OpenAIRE