Late-time correlation functions in dS3/CFT2 correspondence

Abstract We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field theory, which is used to compute the late-time correlatio...

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Main Authors: Heng-Yu Chen, Shi Chen, Yasuaki Hikida
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2023)038
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author Heng-Yu Chen
Shi Chen
Yasuaki Hikida
author_facet Heng-Yu Chen
Shi Chen
Yasuaki Hikida
author_sort Heng-Yu Chen
collection DOAJ
description Abstract We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field theory, which is used to compute the late-time correlation functions. We argue that the relation to direct bulk Feynman diagram computations in the in-in formulation. We furthermore provide a precise prescription to construct a higher-spin dS3 holography as an analytic continuation of Gaberdiel-Gopakumar duality for AdS3. Part of results here were already reported in an earlier letter. We explain the details of their derivations and extend the analysis to more generic cases in this paper. Previously, we have examined two- and three-point functions and a simple four-point correlator at the leading order in Newton constant. Here we also evaluate more complicated four-point correlators. Finally, we study late-time correlators in an alternative limit of dS3/CFT2 with critical level coset, such as, two-point correlator on conical defect geometry. We also examine one-loop corrections to two-point correlator on dS3.
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spelling doaj.art-3c51de9e64ec4228a12bbead66ff5c902023-07-16T11:07:56ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023215610.1007/JHEP02(2023)038Late-time correlation functions in dS3/CFT2 correspondenceHeng-Yu Chen0Shi Chen1Yasuaki Hikida2Department of Physics, National Taiwan UniversityDepartment of Physics, National Taiwan UniversityCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityAbstract We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field theory, which is used to compute the late-time correlation functions. We argue that the relation to direct bulk Feynman diagram computations in the in-in formulation. We furthermore provide a precise prescription to construct a higher-spin dS3 holography as an analytic continuation of Gaberdiel-Gopakumar duality for AdS3. Part of results here were already reported in an earlier letter. We explain the details of their derivations and extend the analysis to more generic cases in this paper. Previously, we have examined two- and three-point functions and a simple four-point correlator at the leading order in Newton constant. Here we also evaluate more complicated four-point correlators. Finally, we study late-time correlators in an alternative limit of dS3/CFT2 with critical level coset, such as, two-point correlator on conical defect geometry. We also examine one-loop corrections to two-point correlator on dS3.https://doi.org/10.1007/JHEP02(2023)038Conformal and W SymmetryGauge-Gravity CorrespondenceHigher Spin Gravity
spellingShingle Heng-Yu Chen
Shi Chen
Yasuaki Hikida
Late-time correlation functions in dS3/CFT2 correspondence
Journal of High Energy Physics
Conformal and W Symmetry
Gauge-Gravity Correspondence
Higher Spin Gravity
title Late-time correlation functions in dS3/CFT2 correspondence
title_full Late-time correlation functions in dS3/CFT2 correspondence
title_fullStr Late-time correlation functions in dS3/CFT2 correspondence
title_full_unstemmed Late-time correlation functions in dS3/CFT2 correspondence
title_short Late-time correlation functions in dS3/CFT2 correspondence
title_sort late time correlation functions in ds3 cft2 correspondence
topic Conformal and W Symmetry
Gauge-Gravity Correspondence
Higher Spin Gravity
url https://doi.org/10.1007/JHEP02(2023)038
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AT shichen latetimecorrelationfunctionsinds3cft2correspondence
AT yasuakihikida latetimecorrelationfunctionsinds3cft2correspondence