REVIEW 60 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
Holographic Derivation of Entanglement Entropy from AdS/CFT
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.
Forward citations
Cited by 60 Pith papers
-
Replica wormholes and the black hole interior
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.
-
Exploring the holographic entropy cone via reinforcement learning
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.
-
Replica Wormholes and the Entropy of Hawking Radiation
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.
-
The Page curve of Hawking radiation from semiclassical geometry
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...
-
Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion
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...
-
Comments on holographic spread complexity
The momentum–spread-complexity relation requires generalized coherent states adapted to the spacetime symmetry algebra; semiclassical spreading alone cannot produce a momentum–complexity correspondence.
-
Universality of Magic in Local Quantum Field Theory
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.
-
Elastic stiffness of three-dimensional black holes and wormholes from Liouville line defects
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...
-
Causality from the spectrum: Emergence of causal order from process-matrix mereology
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.
-
When does a state-dependent proto-area define a bulk geometry?
A proto-area family defines a bulk geometry only when it sews through a single boundary-length map, with a gauge-invariant two-jet criterion and BKM–Jacobi matching as necessary and sufficient conditions.
-
Complexity Inequalities for Quantum Subsystems
Defines tripartite complexity and complexity gap for three-subsystem states and reports that the gap has definite sign across holographic CV, Fisher-Rao, and Krylov measures, suggesting it as a building block for comp...
-
Complexity Inequalities for Quantum Subsystems
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.
-
The Holographic Multi-Entropy Cone
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.
-
Multi-entropy in random tensor networks
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.
-
Massless Islands in Wedge Holography
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.
-
Dynamical Entanglement Phase Transitions in Holographic CFTs
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.
-
Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks
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...
-
Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks
Twirled perfect tensor networks achieve computational covariance, bound complexity by the PLC, and obey a lattice Ryu-Takayanagi formula for arbitrary boundary subregions.
-
Exact Bulk-Boundary Pairs in AdS/CFT
Exact pairing of boundary two-point functions with interior bulk geodesics in AdS/CFT on open solid torus geometry, without standard approximations.
-
q-Askey Deformations of Double-Scaled SYK
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.
-
q-Askey Deformations of Double-Scaled SYK
q-Askey deformations of double-scaled SYK yield transfer matrices for orthogonal polynomials whose semiclassical chord dynamics map to ER bridges and new geometric transitions in sine dilaton gravity.
-
Quantum scars from holographic boson stars
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.
-
Scaling at Chiral Clock Criticality via Entanglement Renormalization
MERA tensor networks produce continuously varying effective scaling dimensions along the Z3 chiral clock critical line, starting from 3-state Potts values as the chiral parameter increases.
-
Hofstadter's Butterfly in AdS$_3$ Black Holes
A single-band lattice model on the BTZ cylinder produces a curvature-dependent Harper equation whose spectra show sharpened butterfly fragmentation at weak curvature and suppressed magnetic response near larger horizons.
-
Structural Obstruction to Replica Symmetry Breaking for Multi-Entropy in Random Tensor Networks
Multi-entropy exhibits a structural obstruction to replica symmetry breaking in random tensor networks due to incompatible boundary permutations in the replica hypercube, unlike entanglement negativity.
-
dS$^4$ Metamorphosis
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.
-
Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography
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...
-
Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
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...
-
On the construction of graph models realizing given entropy vectors
An efficient algorithm constructs candidate simple tree graph models for entropy vectors that pass a chordality test, but its correctness remains conjectural.
-
Precision tests of bulk entanglement: $AdS_3$ vectors
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...
-
Symmetry-Resolved Entanglement Entropy from Heat Kernels
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.
-
Subregion Complementarity in AdS/CFT
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.
-
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
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...
-
Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents
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.
-
The yes boundaries wavefunctions of the universe
A constrained product of two dressed one-sided dS quantum systems yields a holographic dual whose top-band TFD and lower tall states capture the future wedge and overlapping causal wedges.
-
Holographic timelike complexity for de Sitter
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.
-
Holography in the linearized quantum gravity regime and modular crossed product
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.
-
Toward an Observable Algebra for JT-de Sitter Space: Gap Protection and Modular Dressings
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...
-
Page transition for the complexity of an evaporating black hole
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.
-
Defect entanglement entropy for superconformal RG Interfaces
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^...
-
Analytic HTEE in Moving Plasmas and Its Transition
Analytic holographic timelike entanglement entropy for a boosted BTZ black hole, with a critical boost separating complex and real extremal-geodesic branches.
-
Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity
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.
-
Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity
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.
-
Holographic Timelike Entanglement and Subregion Complexity in Localized AdS3*S3*T4 Black Holes
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.
-
Entanglement Wedge Reconstruction without Holographic Quantum Error Correction
A locality-based commutant argument shows that finite-N holographic CFTs lack the protected logical sector required for holographic quantum error correction, leaving only region-by-region entanglement wedge reconstruction.
-
Phase transitions and uberholography of holographic pure-state geometries
A cross-ratio threshold relation η'/η = e^{ΔH/2} governs entanglement-wedge phase transitions on pure-state holographic geometries, and uberholography's fractal dimension α ≈ 0.786 persists on asymptotic boundaries bu...
-
Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories
Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space fact...
-
Holographic Krylov Complexity with Lifshitz Scaling and Hyperscaling Violation
Krylov complexity grows quadratically in pure Lifshitz backgrounds and its late-time exponent is controlled by the hyperscaling violation parameter, with a special oscillatory regime.
-
Ryu-Takayanagi area from Virasoro modular data
Entanglement entropies in 2d holographic CFTs are rewritten via crossing symmetry as algebraic Virasoro entropies whose O(c) piece is identified with the RT area through saddle-dominated Cardy density after coarse-gra...
-
Holography and Kinematic Space for Gravitational Sub-regions in AdS
PEE threads from any codimension-one surface uniformly cover a reconstructible AdS subregion, enabling tensor-network realizations of surface/state correspondence and generalized entanglement wedges.
-
Holography and Kinematic Space for Gravitational Sub-regions in AdS
The paper proposes a kinematic space for any subregion of vacuum AdS, whose geodesic 'PEE threads' uniformly cover the subregion and yield tensor-network models that reproduce Ryu-Takayanagi entropy and realize surfac...
-
CFT Dual for Timelike Geodesic in Lorentzian dS
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.
-
Subregion observer rules from generalized entanglement wedges
Two sets of holographic tensor network rules from independent papers are shown to be equivalent, connecting observer inclusion with generalized entanglement wedge proposals.
-
Quantum Black Hole Chemistry from Double Holography
In double holography, quantum backreaction from cutoff matter on a physical brane supplies a distinct color variable, resolving color-volume degeneracy for the quantum BTZ black hole.
-
The Entanglement Wedge Polygon
The paper defines the entanglement wedge polygon as the intersection of entanglement wedges external to individual homology regions and studies its topological and geometric properties in AdS examples.
-
Real-time pseudo entropy and modular-Hamiltonian correlations
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.
-
Pure states for subregions in gravity and their entanglement entropy
A construction assigns pure states to subregions in quantum gravity via partially frozen path integrals and gives a holographic prescription for their entanglement entropy that satisfies consistency conditions and rec...
-
Constraints on four-party entanglement in holography
In time-reflection-symmetric holographic states, I3 is necessary for non-vanishing four-party entanglement signals, bounds multi-entropy measures, and implies vanishing of Q4.
-
Quantum State of a Gravitating Region
Proposal that compact d-manifolds with elliptic data prepare boundary quantum states |J>, with Rényi entropies from path integrals agreeing with minimal-surface formulas after analytic continuation.
-
Holographic entanglement entropy under external magnetic field from the EMD model
Entanglement entropy in a holographic QCD model with a magnetic field develops a swallow-tail and becomes multivalued at large chemical potential, mirroring the model's own thermodynamic phase transitions.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.