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Timelike entanglement entropy in dS$_3$/CFT$_2$

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arxiv 2304.10376 v3 pith:HWP4NOYZ submitted 2023-04-20 hep-th

Xin Jiang , Peng Wang , Houwen Wu , Haitang Yang This is my paper · ORCID
classification hep-th
keywords entanglemententropytimelikebulkflowspacelikecalculatedcallan-symanzik
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abstract

In the context of dS$_3$/CFT$_2$, we propose a timelike entanglement entropy defined by the renormalization group flow. This timelike entanglement entropy is calculated in CFT by using the Callan-Symanzik equation. We find an exact match between this entanglement entropy and the length of a timelike geodesic connecting two different spacelike surfaces in dS$_3$.The counterpart of this entanglement entropy in AdS$_3$ is a spacelike one, also induced by RG flow and extends all the way into the bulk of AdS$_3$. As a result, in both AdS$_3$/CFT$_2$ and dS$_3$/CFT$_2$, there exist exactly three entanglement entropies, providing precisely sufficient information to reconstruct the three-dimensional bulk geometry.

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Cited by 6 Pith papers

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

  1. Holographic timelike complexity for de Sitter

    hep-th 2026-07 conditional novelty 6.0 of 10

    Timelike subregion volume complexity in de Sitter grows exponentially early and diverges hyperfast at a maximal duration; near the SdS black hole horizon the divergence is replaced by slower, claimed-nonlinear growth.

  2. Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity

    hep-th 2026-07 unverdicted novelty 6.0 of 10

    Timelike entanglement first law holds in Lovelock gravity about AdS, with both entropy and modular Hamiltonian variations carrying the same coupling factor that renormalizes Newton's constant in the linearized equations.

  3. Holographic Timelike Entanglement and Subregion Complexity in Localized AdS3*S3*T4 Black Holes

    hep-th 2026-07 conditional novelty 6.0 of 10

    Timelike entanglement and subregion complexity detect the cap–horizon transition of localized AdS3×S3×T4 black poles via fixed-boundary-interval Lorentzian branch selection, effects absent in BTZ and large-r limits.

  4. Entanglement first law for timelike entanglement entropy and linearized Einstein's equation

    hep-th 2025-11 conditional novelty 6.0 of 10

    For timelike boundary regions, the entanglement first law ΔS = Δ⟨H⟩ is equivalent, by the paper's proof, to the linearized Einstein equations around AdS.

  5. Holographic Timelike Entanglement Entropy in Non-relativistic Theories

    hep-th 2024-11 conditional novelty 6.0 of 10

    The complex timelike entanglement entropy is computed in non-relativistic holographic theories, with a logarithmic real part and a constant imaginary part proposed as Fermi-surface signatures.

  6. 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.

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