Pith. sign in

REVIEW 27 cited by

Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2210.09457 v2 pith:CDI274CC submitted 2022-10-17 hep-th cond-mat.stat-mechquant-ph

Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy

classification hep-th cond-mat.stat-mechquant-ph
keywords entropyentanglementpseudotime-likeanalyticalarguecftscomplex
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We study holographic entanglement entropy in dS/CFT and introduce time-like entanglement entropy in CFTs. Both of them take complex values in general and are related with each other via an analytical continuation. We argue that they are correctly understood as pseudo entropy. We find that the imaginary part of pseudo entropy implies an emergence of time in dS/CFT.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 27 Pith papers

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

  1. Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion

    hep-th 2026-07 conditional novelty 7.0

    In AdS3, dS3, and AdS4 hyperbolic examples, the Kontsevich-Segal-Witten criterion uniquely selects a three-piece complex contour for timelike extremal surfaces, while timelike strips in AdS4 violate the criterion near...

  2. Temporal Entanglement from Twist Correlators in 2d Conformal Field Theory and Holography

    hep-th 2026-07 conditional novelty 7.0

    Timelike entanglement entropy in 2d CFT is defined by time-ordered twist correlators, whose holographic saddles are complex geodesics with smallest real length, and whose imaginary part counts causal-diamond crossings...

  3. Complex Conformal Manifolds

    hep-th 2026-06 unverdicted novelty 7.0

    Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.

  4. Imaginary pseudo entropy encodes temporal orientation

    quant-ph 2026-06 accept novelty 7.0

    The calibrated pseudo-Rényi phase and replica visibility exactly equal the Helstrom trace distance between forward and backward ancilla states, giving a bounded operational meaning to imaginary pseudo entropy.

  5. Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy

    hep-th 2026-06 unverdicted novelty 7.0

    Proposes stress tensor deformation dictionary in dS/CFT via metric-flow and mixed boundary conditions at future infinity, with exact consistency check in Kerr-dS3/CFT2 and pseudo entropy computations for TTbar and roo...

  6. Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition

    hep-th 2025-12 unverdicted novelty 7.0

    Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mec...

  7. Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents

    hep-th 2026-06 conditional novelty 6.5

    Late-time linear growth of holographic TEE is governed by an interior critical surface Ac whose existence is guaranteed by NEC under Kasner asymptotics, with vacuum maximizing real growth and minimizing imaginary part.

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

    hep-th 2026-07 conditional novelty 6.0

    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.

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

    hep-th 2026-07 unverdicted novelty 6.0

    In Lovelock gravity duals of holographic CFTs, the timelike entanglement first law for hyperbolic regions is equivalent to the linearized bulk field equations about AdS, via a universal renormalization factor.

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

    hep-th 2026-07 conditional novelty 6.0

    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.

  11. Extracting conformal data from Loschmidt echoes after critical quenches

    quant-ph 2026-07 conditional novelty 6.0

    Boundary-CFT scaling dimensions and central charge can be reconstructed from the system-size dependence and phase of Loschmidt echoes after a critical quench, bypassing ground-state preparation.

  12. Complex Conformal Manifolds

    hep-th 2026-06 conditional novelty 6.0

    Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.

  13. Imaginary pseudo entropy encodes temporal orientation

    quant-ph 2026-06 unverdicted novelty 6.0

    Imaginary pseudo entropy provides a measurable, reversible record of temporal orientation in quantum transitions via replica interferometry and decreases under quantum channels per Petz recovery.

  14. CFT Dual for Timelike Geodesic in Lorentzian dS

    hep-th 2026-06 conditional novelty 6.0

    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.

  15. Real-time pseudo entropy and modular-Hamiltonian correlations

    hep-th 2026-06 unverdicted novelty 6.0

    Short-time real-time pseudo entropy obeys S_A(t,0)=S_A(0)-it ⟨K_A(H−⟨H⟩)⟩ + O(t²), with imaginary response from symmetrized covariance of H and K_A.

  16. Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography

    hep-th 2026-02 unverdicted novelty 6.0

    Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-ener...

  17. No boundary density matrix in elliptic de Sitter dS/$\mathbb{Z}_2$

    hep-th 2025-11 unverdicted novelty 6.0

    The Euclidean path integral on elliptic de Sitter defines a no-boundary density matrix whose entropies reduce to vertex operator correlators on non-orientable surfaces, with a one-dimensional global Hilbert space but ...

  18. Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity

    hep-th 2025-11 unverdicted novelty 6.0

    Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specif...

  19. Pseudo entropy and topological phases of matter

    cond-mat.stat-mech 2026-06 unverdicted novelty 5.0

    Pseudo entropy distinguishes topological from trivial phases in the SSH model via sign of averaged excess entropy ΔS12 and tracks quench critical times with its imaginary part.

  20. CFT Dual for Timelike Geodesic in Lorentzian dS

    hep-th 2026-06 unverdicted novelty 5.0

    Analytic continuation produces a PT-invariant CFT state reproducing the Bunch-Davies Wightman function for dS, but entanglement entropy captures only real central charge, motivating a timelike geodesic-integrated dual...

  21. Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents

    hep-th 2026-06 unverdicted novelty 5.0

    In asymptotically AdS black holes with space-like singularities, late-time linear growth of time-like entanglement entropy is governed by a critical extremal surface inside the event horizon, with growth rates bounded...

  22. Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents

    hep-th 2026-06 unverdicted novelty 5.0

    Late-time TEE growth in asymptotically AdS black holes with space-like singularities is governed by a critical extremal surface inside the horizon, with real/imaginary growth rates bounded by Schwarzschild-AdS under e...

  23. Holographic complexity of de-Sitter black holes

    hep-th 2026-06 unverdicted novelty 5.0

    In SdS black hole holography, CV and CV2.0 complexities grow linearly while CA growth vanishes due to finite action, with matching rates between static patch and dS/CFT schemes.

  24. Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems

    quant-ph 2026-05 unverdicted novelty 5.0

    Generic ergodic Hamiltonian dynamics in quantum Ising chains exhibits a long mesoscopic regime in temporal entanglement that deviates from random-circuit universality, suggesting slow spectral reorganization of the in...

  25. The Thermodynamics of Cosmological Horizons and Their Holographic Description in de Sitter Space

    hep-th 2026-04 unverdicted novelty 5.0

    A universal first law of thermodynamics for de Sitter cosmological horizons defines entropy in the holographic dual at future infinity as a function of boundary pressure and angular momentum from the Brown-York stress tensor.

  26. Entanglement inequalities for timelike intervals within dynamical holography

    hep-th 2026-04 unverdicted novelty 5.0

    Timelike mutual information is positive and weak monotonicity holds for non-overlapping timelike subregions in AdS3-Vaidya holography, but the timelike strong subadditivity is violated for overlapping intervals while ...

  27. Timelike entanglement entropy Revisited

    hep-th 2025-03 unverdicted novelty 5.0

    An operator-algebraic definition of timelike entanglement entropy in QFT is shown to be real-valued via the timelike tube theorem.