{"title":"Probing de Sitter space using CFT states","authors":"Kazuki Doi, Naoki Ogawa, Kotaro Shinmyo, Yu-ki Suzuki, Tadashi Takayanagi","doi":"10.1007/JHEP02(2025)093","DOIUrl":null,"url":null,"abstract":"<p>In this paper we construct CFT states describing a putative holographic dual to local excitations in the three-dimensional de Sitter space (dS), called the bulk local states. We find that the conjugation operation in dS<sub>3</sub>/CFT<sub>2</sub> is notably different from that in AdS<sub>3</sub>/CFT<sub>2</sub>. This requires us to combine two bulk local states constructed out of different primary states in a CPT-invariant way. This analysis explains why Green’s functions in the dS Euclidean vacuum cannot simply be obtained from the Wick rotation of those in AdS. We also argue that this characteristic feature explains the emergence of a time coordinate from the dual Euclidean CFT. We show that the information metric for the quantum estimation of bulk coordinate values replicates the de Sitter space metric.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 2","pages":""},"PeriodicalIF":5.5000,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP02(2025)093.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP02(2025)093","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
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Abstract
In this paper we construct CFT states describing a putative holographic dual to local excitations in the three-dimensional de Sitter space (dS), called the bulk local states. We find that the conjugation operation in dS3/CFT2 is notably different from that in AdS3/CFT2. This requires us to combine two bulk local states constructed out of different primary states in a CPT-invariant way. This analysis explains why Green’s functions in the dS Euclidean vacuum cannot simply be obtained from the Wick rotation of those in AdS. We also argue that this characteristic feature explains the emergence of a time coordinate from the dual Euclidean CFT. We show that the information metric for the quantum estimation of bulk coordinate values replicates the de Sitter space metric.
期刊介绍：
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
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JHEP presently encompasses the following areas of theoretical and experimental physics:
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Mostly Strong Interactions (phenomenology).
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