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Probing de Sitter Space Using CFT States

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arxiv 2405.14237 v5 pith:BE65EBLM submitted 2024-05-23 hep-th gr-qcquant-ph

Kazuki Doi , Naoki Ogawa , Kotaro Shinmyo , Yu-ki Suzuki , Tadashi Takayanagi This is my paper
classification hep-thgr-qcquant-ph
keywords statesbulklocalsitterspacecoordinatedifferentdual
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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 dS$_3/$CFT$_2$ is notably different from that in AdS$_3/$CFT$_2$. 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. CFT Dual for Timelike Geodesic in Lorentzian dS

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.

  2. Universality of pseudoentropy for deformed spheres in dS/CFT

    hep-th 2025-12 conditional novelty 6.0 of 10

    The quadratic shape-deformation correction to pseudoentropy in dS/CFT is controlled by the analytically continued stress-tensor coefficient C_T, making the sphere a local extremum across Einstein and quadratic-curvatu...

  3. Renormalized pseudoentropy in dS/CFT

    hep-th 2026-02 conditional novelty 5.0 of 10

    Renormalized holographic pseudoentropy in dS/CFT is constructed from conformal-gravity actions in four and six dimensions, yielding finite sphere values and Mezei-like shape dependence for small deformations.

  4. dS/CFT Correspondence from a Defect Operator

    hep-th 2025-12 conditional novelty 5.0 of 10

    A PT-defect-twisted inner product reproduces the de Sitter scalar two-point function, and PT symmetry is necessarily broken in CFT_2 with an imaginary central charge.

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