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dc.contributor.author | Miyaji, Masamichi | en |
dc.contributor.author | Takayanagi, Tadashi | en |
dc.contributor.author | Watanabe, Kento | en |
dc.contributor.alternative | 髙柳, 匡 | ja |
dc.date.accessioned | 2020-07-06T07:18:58Z | - |
dc.date.available | 2020-07-06T07:18:58Z | - |
dc.date.issued | 2017-03-15 | - |
dc.identifier.issn | 2470-0010 | - |
dc.identifier.uri | http://hdl.handle.net/2433/252411 | - |
dc.description.abstract | In this paper, we discuss tensor network descriptions of AdS/CFT from two different viewpoints. First, we start with a Euclidean path-integral computation of ground state wave functions with a UV cutoff. We consider its efficient optimization by making its UV cutoff position dependent and define a quantum state at each length scale. We conjecture that this path integral corresponds to a time slice of anti–de Sitter (AdS) spacetime. Next, we derive a flow of quantum states by rewriting the action of Killing vectors of AdS₃ in terms of the dual two-dimensional conformal field theory (CFT). Both approaches support a correspondence between the hyperbolic time slice H₂ in AdS₃ and a version of continuous multiscale entanglement renormalization ansatz. We also give a heuristic argument about why we can expect a sub-AdS scale bulk locality for holographic CFTs. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Physical Society (APS) | en |
dc.rights | © 2017 American Physical Society | en |
dc.rights | 許諾条件に基づいて掲載しています。 | ja |
dc.title | From path integrals to tensor networks for the AdS/CFT correspondence | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Physical Review D | en |
dc.identifier.volume | 95 | - |
dc.identifier.issue | 6 | - |
dc.relation.doi | 10.1103/PhysRevD.95.066004 | - |
dc.textversion | publisher | - |
dc.identifier.artnum | 066004 | - |
dc.address | Center for Gravitational Physics, Yukawa Institute for Theoretical Physics (YITP), Kyoto University | en |
dc.address | Center for Gravitational Physics, Yukawa Institute for Theoretical Physics (YITP), Kyoto University・Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), University of Tokyo | en |
dc.address | Center for Gravitational Physics, Yukawa Institute for Theoretical Physics (YITP), Kyoto University | en |
dcterms.accessRights | open access | - |
datacite.awardNumber | 16H02182 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
出現コレクション: | 学術雑誌掲載論文等 |
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