Pith. sign in

REVIEW 225 cited by

Holographic Derivation of Entanglement Entropy from AdS/CFT

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 hep-th/0603001 v2 pith:ROH2NK7D submitted 2006-02-28 hep-th cond-mat.str-elgr-qcquant-ph

classification hep-thcond-mat.str-elgr-qcquant-ph
keywords entropyentanglementconformalderivationdimensionalfieldholographictheories
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS_{d+2}, analogous to the Bekenstein-Hawking formula for black hole entropy. We show that our proposal perfectly reproduces the correct entanglement entropy in 2D CFT when applied to AdS_3. We also compare the entropy computed in AdS_5 \times S^5 with that of the free N=4 super Yang-Mills.

Discussion (0). Continue with ORCID to comment.

Forward citations

Showing 60 of 225 Pith papers that cite this

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. See all 225 Pith citations

  1. Replica wormholes and the black hole interior

    hep-th 2019-11 conditional novelty 9.0 of 10

    Replica wormhole geometries justify the replica trick computation of the Page curve in holographic black hole models and support entanglement wedge reconstruction via the Petz map.

  2. Exploring the holographic entropy cone via reinforcement learning

    hep-th 2026-01 conditional novelty 8.0 of 10

    Reinforcement learning finds explicit graph realizations for three of six previously unresolved extreme rays of the N=6 holographic entropy cone and supplies evidence that the other three lie outside it.

  3. Fundamental Complement of a Gravitating Region

    hep-th 2025-05 conditional novelty 8.0 of 10

    A gravitating region's hologram is the spacelike complement of the hologram of its fundamental complement, generalizing entanglement-wedge complementarity to arbitrary spacetimes and recovering AdS/CFT.

  4. Geometric Entropies and their Hamiltonian Flows

    hep-th 2025-01 accept novelty 8.0 of 10

    In JT gravity with higher-derivative scalar couplings, the geometric entropy flow generalizes the BCP kink transformation by adding delta-function singularities in the dilaton and matter fields.

  5. Algorithmic construction of SSA-compatible extreme rays of the subadditivity cone and the ${\sf N}=6$ solution

    quant-ph 2024-12 conditional novelty 8.0 of 10

    Complete classification of SSA-compatible extreme rays of the six-party subadditivity cone, with 150 holographic graph realizations and 52 confirmed non-holographic orbits.

  6. Replica Wormholes and the Entropy of Hawking Radiation

    hep-th 2019-11 accept novelty 8.0 of 10

    Replica wormholes in the gravitational path integral yield the island rule for the fine-grained entropy of Hawking radiation, ensuring it follows the unitary Page curve in two-dimensional dilaton gravity.

  7. The Page curve of Hawking radiation from semiclassical geometry

    hep-th 2019-08 accept novelty 8.0 of 10

    Hawking radiation entropy follows the Page curve when quantum extremal surfaces are identified with RT/HRT surfaces in a higher-dimensional holographic dual, making the black hole interior part of the radiation's enta...

  8. Quantum Penrose Inequality

    hep-th 2019-08 conditional novelty 8.0 of 10

    A conjectured inequality, m ≥ sqrt(ℏ S_gen/(4πG)), replaces the surface area in the Penrose bound by the generalized entropy on a quantum lightsheet.

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

    hep-th 2026-07 conditional novelty 7.0 of 10

    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...

  10. Comments on holographic spread complexity

    hep-th 2026-07 conditional novelty 7.0 of 10

    The momentum–spread-complexity relation requires generalized coherent states adapted to the spacetime symmetry algebra; semiclassical spreading alone cannot produce a momentum–complexity correspondence.

  11. Universality of Magic in Local Quantum Field Theory

    hep-th 2026-07 conditional novelty 7.0 of 10

    In any local QFT, vacuum-like states have non-flat entanglement spectra because local algebras are type III₁, so no stabilizer state can flow to them in the continuum: QFT states necessarily carry magic.

  12. Elastic stiffness of three-dimensional black holes and wormholes from Liouville line defects

    hep-th 2026-07 accept novelty 7.0 of 10

    Shape and mass-density deformations of thin-shell AdS3 black holes and wormholes have stiffness kernels equal to two-point functions of defect-local displacement and mass-density operators, computed from linearized Li...

  13. Causality from the spectrum: Emergence of causal order from process-matrix mereology

    quant-ph 2026-07 conditional novelty 7.0 of 10

    A process matrix can be unitarily transformed to a fixed-causal-order process exactly when its eigenvalue multiplicities are divisible by the final output dimension; generic high-dimensional spectra are close to such spectra.

  14. When does a state-dependent proto-area define a bulk geometry?

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Derives criteria for when state-dependent proto-area two-jets in approximate holographic codes are compatible with metric two-jets, including polyhedral realizations, X-ray transform tangent spaces, and quadratic obst...

  15. Complexity Inequalities for Quantum Subsystems

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Introduces tripartite complexity and complexity gap for three-region subsystems and reports that the gap has a definite sign in holographic volume complexity, Fisher-Rao Gaussian complexity, and Krylov-space approaches.

  16. The Holographic Multi-Entropy Cone

    hep-th 2026-06 accept novelty 7.0 of 10

    Holographic multi-entropy vectors form a rational polyhedral cone; its n=3,4 facets yield seven fundamental multi-entropy inequality orbits, with ordinary HEC facets arising as convex combinations of HMEC facets.

  17. Multi-entropy in random tensor networks

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    For n=2, Rényi multi-entropies in RTNs are determined by minimal multiway cuts; the minimal multiway cut conjecture fails for integer n>2 with explicit counterexamples.

  18. Massless Islands in Wedge Holography

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    A unitary defect CFT at the wedge corner supplies an auxiliary holographic entropy term that balances area variations and enables stable non-horizon islands in massless ghost-free wedge holography.

  19. Dynamical Entanglement Phase Transitions in Holographic CFTs

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    In large-central-charge holographic CFTs, post-quench mutual information organizes into six phases governed by conformal block dominance and D4 symmetry breaking to Z2 x Z2.

  20. Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Twirled perfect tensor networks are introduced as a class satisfying computational covariance, bounding complexity by the Python's Lunch Conjecture exponent, and combining holographic features of perfect and random te...

  21. Exact Bulk-Boundary Pairs in AdS/CFT

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Exact pairing of CFT two-point functions with interior AdS geodesics on open solid torus via conformal kinematics, without semiclassical approximations.

  22. q-Askey Deformations of Double-Scaled SYK

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    q-Askey deformations of DSSYK produce transfer matrices from basic orthogonal polynomials whose chord numbers map to ER bridge lengths and signal geometric transitions with discrete spectra in sine dilaton gravity.

  23. Quantum scars from holographic boson stars

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Mini-boson stars in AdS spacetime are proposed as holographic realizations of quantum scars, exhibiting chaotic spectra with integrable subsectors, anomalously low entanglement, and robust Krylov complexity revivals.

  24. dS$^4$ Metamorphosis

    hep-th 2026-02 conditional novelty 7.0 of 10

    Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.

  25. Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    In the continuum limit the discrete Krylov chain becomes a Klein-Gordon field in AdS2, with Lanczos growth rate α identified as πT, recovering the maximal chaos bound and requiring the Breitenlohner-Freedman bound for...

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

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    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...

  27. On the construction of graph models realizing given entropy vectors

    hep-th 2025-12 conditional novelty 7.0 of 10

    An efficient algorithm constructs candidate simple tree graph models for entropy vectors that pass a chordality test, but its correctness remains conjectural.

  28. Precision tests of bulk entanglement: $AdS_3$ vectors

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    Bulk single-particle states of a massive Chern-Simons vector in AdS3 produce entanglement entropy corrections that match the CFT replica-trick result for the corresponding primary and descendants at leading and sub-le...

  29. Symmetry-Resolved Entanglement Entropy from Heat Kernels

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.

  30. The algebraic structure of gravitational scrambling

    hep-th 2025-08 conditional novelty 7.0 of 10

    The paper builds an operator algebra, the modular-twisted product, that captures black hole scrambling exactly at the scrambling time and reduces to previously known free and tensor product algebras in the appropriate limits.

  31. Renormalization group flows in area-metric gravity

    gr-qc 2025-07 conditional novelty 7.0 of 10

    The first renormalization group analysis of area-metric gravity shows shape-mismatching masses grow toward the infrared, parity is not emergent, and the Immirzi parameter flow has fixed points at γ=0 and γ=∞.

  32. Relational entanglement entropies and quantum reference frames in gauge theories

    hep-th 2025-06 accept novelty 7.0 of 10

    Quantum reference frames built from Wilson lines give lattice gauge theories gauge-invariant subsystem factorizations and a hierarchy of relational entanglement entropies.

  33. Multi-entropy and the Dihedral Measures at Quantum Critical Points

    hep-th 2025-06 conditional novelty 7.0 of 10

    The multi-entropy excess κ_2^(3) vanishes for the massless free scalar CFT, an exception to the general c/4 log 2 result, while the Ising model matches it, and new n=3 and n=4 values are proposed for the scalar theory.

  34. Hollow-grams: Generalized Entanglement Wedges from the Gravitational Path Integral

    hep-th 2025-06 conditional novelty 7.0 of 10

    The entropy of a bulk region in holographic states equals the generalized entropy of the smallest wedge containing it, derived from a replica path integral via a hollow-graphic construction.

  35. Entanglement Entropy of a Scalar Field in Anti-de Sitter Space

    hep-th 2025-05 conditional novelty 7.0 of 10

    For a free massive scalar in AdS4, the UV-divergent entanglement entropy of centered spherical regions takes a fitted form whose logarithmic coefficient, -1/90 plus (-mu^2 a^2/6 - 1/3) times the proper area, matches c...

  36. Minimax surfaces and the holographic entropy cone

    hep-th 2025-02 conditional novelty 7.0 of 10

    Stable minimax surfaces are shown to be HRT surfaces, the entanglement wedge is the smallest minimax homology region, and a cooperating time-sheet configuration would prove the equality of RT and HRT entropy cones.

  37. Geometric modular flows in 2d CFT and beyond

    hep-th 2025-02 conditional novelty 7.0 of 10

    In 2d CFTs, every suitably regular Unruh flow on the Rindler wedge is the modular flow of a state obtained by a conformal unitary acting on the vacuum or thermal state, and local entropy and stress-tensor formulas follow.

  38. Tantum Gravity

    hep-th 2024-12 conditional novelty 7.0 of 10

    A triple-scaling limit of quantum gravity keeps black hole thermodynamics finite and reproduces the Hawking temperature.

  39. QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow

    hep-th 2024-12 conditional novelty 7.0 of 10

    A framework called SymQRG identifies 3D quantum gravity as the symmetry-preserving RG flow of 2D CFTs, realized discretely by U_q(SL(2,R)) 6j symbols.

  40. The Diagonal Approximation for Holographic R\'{e}nyi Entropies

    hep-th 2024-12 conditional novelty 7.0 of 10

    The diagonal approximation for holographic Rényi entropies, previously assumed, is derived up to O(log G) corrections, yielding the modified cosmic brane prescription for alpha<1.

  41. The entanglement membrane in 2d CFT: reflected entropy, RG flow, and information velocity

    hep-th 2024-11 conditional novelty 7.0 of 10

    A generalized entanglement membrane with an extra bulk-depth degree of freedom correctly captures reflected entropy in 2d CFT, and a relevant deformation restores the ordinary non-degenerate membrane tension.

  42. Subregion Complementarity in AdS/CFT

    hep-th 2023-09 unverdicted novelty 7.0 of 10

    Subregion duality fails in AdS/CFT at leading large N, leading to the proposal of subregion complementarity allowing different CFT operators to describe one bulk subregion.

  43. The negativity contour: a quasi-local measure of entanglement for mixed states

    hep-th 2019-08 conditional novelty 7.0 of 10

    The authors define a computable negativity contour via a derivative of logarithmic negativity, verify it against a Gaussian ansatz, and apply it to Fermi surfaces, holographic non-Fermi liquids, and thermalization.

  44. The Speed of Quantum Information Spreading in Chaotic Systems

    cond-mat.stat-mech 2019-08 conditional novelty 7.0 of 10

    For chaotic systems with initial entanglement fraction f, quantum information spreads at speed v_E(f)/(1-f), interpolating between the entanglement speed at f=0 and the butterfly speed at f=1.

  45. Large Breakdowns of Entanglement Wedge Reconstruction

    hep-th 2019-08 conditional novelty 7.0 of 10

    The reconstructable bulk region for a boundary subregion can be macroscopically smaller than the entanglement wedge in horizon-free AdS/CFT code subspaces, with arbitrary large gaps in large low-density dustball states.

  46. Entanglement entropy of linearized gravitons in a sphere

    hep-th 2019-08 conditional novelty 7.0 of 10

    A linearized graviton field in a sphere has entanglement entropy equal to that of two massless scalars with l=0 and l=1 modes removed, giving a logarithmic coefficient of -61/45.

  47. The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

    hep-th 2019-05 conditional novelty 7.0 of 10

    In a 2d evaporating black hole model, large boosts create O(1/G_N) gradients in bulk entropy that move the quantum extremal surface, causing the generalized entropy to follow unitary expectations with information disa...

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

    hep-th 2026-06 unverdicted novelty 6.5 of 10

    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...

  49. The quadratic growth of Krylov spread complexity in the BTZ black hole

    hep-th 2026-08 conditional novelty 6.0 of 10

    Krylov spread complexity of the BTZ thermofield-double state departs from pure quadratic growth at intermediate times and appears to return to quadratic pre-saturation growth, with a bulk dual constructed from an infi...

  50. Quantum Information Flow under String-Diagram Rewriting

    quant-ph 2026-08 conditional novelty 6.0 of 10

    The authors define Coecke flow lines as branch-independent paths through quantum protocol diagrams that survive every semantics-preserving rewrite down to a bare wire.

  51. Holographic multipartite entanglement dynamics in AdS$_3$-Vaidya

    hep-th 2026-08 conditional novelty 6.0 of 10

    During a holographic global quench, multipartite entanglement's spatial range first expands then contracts, with higher-party entanglement relaxing later, while some tripartite signals persist or return to vacuum values.

  52. Towards a Holographic dual of Carrollian BCFT

    hep-th 2026-08 conditional novelty 6.0 of 10

    An end-of-the-world brane in 3d flat spacetime is shown to reduce spacetime symmetries to the boundary Carrollian conformal algebra, suggesting a flat-space analogue of AdS3/BCFT2 holography.

  53. Holographic entanglement entropy with conformal boundary conditions

    hep-th 2026-08 conditional novelty 6.0 of 10

    In AdS3 with conformal boundary conditions, holographic entanglement entropy is still the minimal-surface area over 4G_N, and the dual Liouville plus T Tbar theory gives entropy governed by the effective central charge c_eff.

  54. Probe Dependence of the Imaginary Part of HTEE

    hep-th 2026-08 conditional novelty 6.0 of 10

    In a strongly coupled anisotropic plasma, the imaginary part of holographic timelike entanglement entropy is orientation-dependent: 29π/48 a² for the surface probing the anisotropic direction, 11π/48 a² for the other.

  55. Boundary Conditions and Entanglement in Anti-de Sitter Space

    hep-th 2026-08 conditional novelty 6.0 of 10

    For a conformally coupled scalar in AdS4, the UV-divergent entanglement entropy is independent of boundary conditions, while the UV-finite part acquires a boundary-condition dependent R^2/a^2 correction with coefficie...

  56. 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.

  57. Holography in the linearized quantum gravity regime and modular crossed product

    hep-th 2026-07 conditional novelty 6.0 of 10

    At linearized order, the vacuum-subtracted HRT entropy of a boundary region is the entropy of a coherent graviton state in the modular crossed-product algebra of the dual CFT, assuming a wedge-reconstructing holographic map.

  58. Toward an Observable Algebra for de Sitter Space: Gap Protection and Modular Dressings

    hep-th 2026-07 conditional novelty 6.0 of 10

    In global dS2 the fundamental complement of a finite union of arcs is empty unless some complementary gap has length at least π; a commutant-based algebra model reproduces this and exhibits a discontinuous 'activation...

  59. Page transition for the complexity of an evaporating black hole

    hep-th 2026-07 conditional novelty 6.0 of 10

    The complexity of radiation from an evaporating black hole is argued to undergo a sharp Page-like transition, dominated after the Page time by the volume of an island in the entanglement wedge.

  60. Defect entanglement entropy for superconformal RG Interfaces

    hep-th 2026-07 conditional novelty 6.0 of 10

    A holographic computation of the defect entanglement entropy for superconformal RG interfaces between N=4 SYM and the Leigh-Strassler SCFT, finding a mass-squared scaling at large deformation and a relation between C^...

See all 225 Pith citations

Pith tools