A Covariant Holographic Entanglement Entropy Proposal

Abstract

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing several examples of possible covariant generalizations, we study a particular construction based on light-sheets, motivated in similar spirit to the covariant entropy bound underlying the holographic principle. In particular, we argue that the entanglement entropy associated with a specified region on the boundary in the context of the AdS/CFT correspondence is given by the area of a co-dimension two bulk surface with vanishing expansions of null geodesics. We demonstrate our construction with several examples to illustrate its reduction to the holographic entanglement entropy proposal in static spacetimes. We further show how this proposal may be used to understand the time evolution of entanglement entropy in a time varying QFT state dual to a collapsing black hole background. Finally, we use our proposal to argue that the Euclidean wormhole geometries with multiple boundaries should be regarded as states in a non-interacting but entangled set of QFTs, one associated to each boundary.

71 pages, 12 figures. v2: minor changes. v3: erratum in definition of causal construction fixed

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• The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing
• SVD Entanglement Entropy
• Page Curve of Effective Hawking Radiation
• Short interval expansion of Rényi entropy on torus
• Are entangled particles connected by wormholes? Support for the ER=EPR conjecture from entropy inequalities
• Zoo of holographic moving mirrors
• Cosmological and black hole islands in multi-event horizon spacetimes
• On shape dependence of holographic entanglement entropy in AdS4/CFT3
• Towards classification of holographic multi-partite entanglement measures
• Entanglement and geometry from subalgebras of the Virasoro algebra
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• A note on the extensivity of the holographic entanglement entropy
• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• Local measures of entanglement in black holes and CFTs
• Islands and mixed states in closed universes
• Equilibrium to Einstein: Entanglement, Thermodynamics, and Gravity
• Quantum Entanglement of Fermionic Local Operators
• Horizon as Critical Phenomenon
• Surface Theory: the Classical, the Quantum, and the Holographic
• Geometric Interpretation of Timelike Entanglement Entropy
• The Markov gap in the presence of islands
• Dynamical Meson Melting in Holography
• Evolution of Entanglement Wedge Cross Section Following a Global Quench
• Causal Evolutions of Bulk Local Excitations from CFT
• Superbalance of Holographic Entropy Inequalities
• Calibrated Entanglement Entropy
• Renormalization group flow of entanglement entropy on spheres
• Gravitational infall in the hard wall model
• Lorentzian AdS, Wormholes and Holography
• Warped Black Holes in Lower-Spin Gravity
• On de Sitter future-past extremal surfaces and the "entanglement wedge"
• Higher Curvature Gravity from Entanglement in Conformal Field Theories
• Equivalence of Emergent de Sitter Spaces from Conformal Field Theory
• On $d{S}_4$ extremal surfaces and entanglement entropy in some ghost CFTs
• Complexity and entanglement in non-local computation and holography
• Mixed State Entanglement for Holographic Axion Model
• The Quantum Entropy Cone of Hypergraphs
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Exploring nonlocal observables in shock wave collisions
• Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
• Towards holography via quantum source-channel codes
• Cosmological spectrum of two-point correlation function from vacuum fluctuation of Stringy Axion field in De Sitter space: A study of the role of Quantum Entanglement
• Random tensor networks with nontrivial links
• On the real-time evolution of pseudo-entropy in 2d CFTs
• Barrier from chaos: operator entanglement dynamics of the reduced density matrix
• JT Gravity from Partial Reduction and Defect Extremal Surface
• No Simple Dual to the Causal Holographic Information?
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Bulk Entanglement Entropy and Matrices
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Holographic Quantum Scars
• Entanglement of Purification in Holographic Systems
• Equivalent Equations of Motion for Gravity and Entropy
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Local quenches, bulk entanglement entropy and a unitary Page curve
• Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
• Entanglement Entropy Near Cosmological Singularities
• Entanglement Phase Transition in Holographic Pseudo Entropy
• Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary
• Long-distance entanglement of purification and reflected entropy in conformal field theory
• Holographic Entropy Inequalities and Multipartite Entanglement
• On volume subregion complexity in Vaidya spacetime
• Microcanonical Action and the Entropy of Hawking Radiation
• Black Hole Interior in Unitary Gauge Construction
• Entanglement thermodynamics for charged black holes
• Reflected entropy in random tensor networks II: a topological index from the canonical purification
• Temperature and entropy-area relation of quantum matter near spherically symmetric outer trapping horizons
• Bit thread, entanglement distillation, and entanglement of purification
• Generalized entanglement entropy
• Maximin is Not Enough
• Entanglement entropy and Page curve of black holes with island in massive gravity
• Topological aspects of generalized gravitational entropy
• Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
• Deriving the PEE proposal from the Locking bit thread configuration
• Unitary Constraints on Semiclassical Schwarzschild Black Holes in the Presence of Island
• Canonical Purification of Evaporating Black Holes
• Subsystem complexity after a global quantum quench
• Extending the scope of holographic mutual information and chaotic behavior
• Holographic measurement and quantum teleportation in the SYK thermofield double
• Approximate Bacon-Shor Code and Holography
• Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
• Exploring the Membrane Theory of Entanglement Dynamics
• Entanglement and Correlations near Extremality: CFTs dual to Reissner-Nordström AdS${}_5$
• Entanglement entropy from one-point functions in holographic states
• The Symmetrized Holographic Entropy Cone
• One-shot holography
• On subregion action complexity in AdS${}_3$ and in the BTZ black hole
• Entanglement versus entwinement in symmetric product orbifolds
• Holographic Quenches in a Confined Phase
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• The Multiverse in an Inverted Island
• Scrambling time from local perturbations of the rotating BTZ black hole
• Islands in Multiverse Models
• On the Role of Counterterms in Holographic Complexity
• Handlebody phases and the polyhedrality of the holographic entropy cone
• Driven Holographic CFTs
• Holographic Mutual Information and Critical Exponents of the Strongly Coupled Plasma
• Extracting entanglement geometry from quantum states
• The inside outs of AdS(3)/CFT(2): Exact AdS wormholes with entangled CFT duals
• Stringy ER=EPR
• Capacity of Entanglement in Local Operators
• Entanglement shadows in LLM geometries
• A Bound on Holographic Entanglement Entropy from Inverse Mean Curvature Flow
• Defect extremal surfaces for entanglement negativity
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups
• On the reconstruction of Lifshitz spacetimes
• Ownerless island and partial entanglement entropy in island phases
• Page Curves of Reissner-Nordström Black Hole in HD Gravity
• Entropy functionals and c-theorems from the second law
• The holographic entropy cone from marginal independence
• A Holographic Argument for the Penrose Inequality in AdS
• Entanglement entropy of excited states in conformal perturbation theory and the Einstein equation
• Holographic Cone of Average Entropies
• Island formula in Planck brane
• Looking at Shadows of Entanglement Wedges
• Quantum entanglement in cosmology
• Evolution of Entanglement Entropy in Orbifold CFTs
• Evolutions of entanglement and complexity after a thermal quench in massive gravity theory
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• Note on ETH of descendant states in 2D CFT
• Steady States of Holographic Interfaces
• Page curves and Entanglement Islands for the Step-Function Vaidya Model of Evaporating Black Holes
• Constraining braneworlds with entanglement entropy
• Mutual information of subsystems and the Page curve for Schwarzschild de-Sitter black hole
• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• Islands in the Stream of Hawking Radiation
• Areas and entropies in BFSS/gravity duality
• On the time dependence of holographic complexity for charged AdS black holes with scalar hair
• Gravitation in flat spacetime from entanglement
• Volume complexity for Janus ${\mathrm{AdS}}_3$ geometries
• Bridging the static patches: de Sitter holography and entanglement
• Chaos, Diffusivity, and Spreading of Entanglement in Magnetic Branes, and the Strengthening of the Internal Interaction
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• The holographic entropy zoo
• Note on Chern-Simons Term Correction to Holographic Entanglement Entropy
• On the Monogamy of Holographic $n$-partite Information
• Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories
• Aperiodic spin chains at the boundary of hyperbolic tilings
• Tensor networks for dynamic spacetimes
• Computing spacetime
• Reflected Entropy in AdS${}_3$/WCFT
• Information Scrambling with Conservation Laws
• Target space entanglement in Matrix Models
• Building Tensor Networks for Holographic States
• Holographic study of entanglement and complexity for mixed states
• Area Law Unification and the Holographic Event Horizon
• The Quantum Null Energy Condition in Curved Space
• Entanglement Entropy and D1-D5 geometries
• CFT sewing as the dual of AdS cut-and-paste
• Entanglement Entropy after Double-Excitation as Interaction Measure
• Emergence of spacetime from the algebra of total modular Hamiltonians
• Terminal Holographic Complexity
• The connected wedge theorem and its consequences
• Holographic boundary states and dimensionally-reduced braneworld spacetimes
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Effect of back reaction on entanglement and subregion volume complexity in strongly coupled plasma
• Non-conformal brane plane waves and entanglement entropy
• Pseudo Entropy in $U(1)$ gauge theory
• Holographic entanglement entropy, deformed black branes, and deconfinement in AdS/QCD
• A note on the bulk interpretation of the Quantum Extremal Surface formula
• Holographic subregion complexity under thermal quench in Einstein-Maxwell-Axions theory with momentum relaxation
• Volume complexity of dS bubbles
• Quantum tasks require islands on the brane
• Overcounting of interior excitations: A resolution to the bags of gold paradox in AdS
• Holography and thermalization in optical pump-probe spectroscopy
• Holographic Entanglement Entropy on Generic Time Slices
• Covariant Constraints on Hole-ography
• Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement
• AdS plane waves, entanglement and mutual information
• The Penrose Inequality as a Constraint on the Low Energy Limit of Quantum Gravity
• Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
• State-Dependent Divergences in the Entanglement Entropy
• Gravitational back-reaction is magical
• Qubit Construction in 6D SCFTs
• Quantum tasks in holography
• Entropy of causal diamond ensembles
• Entanglement between two gravitating universes
• Multi-entropy at low Renyi index in 2d CFTs
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Superselection Sectors of Gravitational Subregions
• AdS Vacuum Bubbles, Holography and Dual RG Flows
• Hyperscaling violation : a unified frame for effective holographic theories
• Quantum Penrose Inequality
• Thermalization of Mutual Information in Hyperscaling Violating Backgrounds
• Informational properties for Einstein-Maxwell-Dilaton Gravity
• Bootstrapping Quantum Extremal Surfaces I: The Area Operator
• Time Evolution of Entanglement Negativity from Black Hole Interiors
• Holographic Non-equilibrium Heating
• Complexity-action of subregions with corners
• Path Integral Complexity and Kasner singularities
• Time dependence of reflected entropy in rational and holographic conformal field theories
• Cosmologies, singularities and quantum extremal surfaces
• Quantum thermodynamics of holographic quenches and bounds on the growth of entanglement from the QNEC
• The Boundary Dual of Bulk Local Operators
• The Thermal Bath of de Sitter from Holography
• Mixed State Entanglement and Thermal Phase Transitions
• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
• Entanglement from Dissipation and Holographic Interpretation
• Refinement of the Bousso-Engelhardt Area Law
• Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
• de Sitter entropy as entanglement
• An Inhomogeneous Jacobi equation for minimal surfaces and perturbative change of Holographic Entanglement Entropy
• Bulk reconstruction of metrics with a compact space asymptotically
• Ghost-spin chains, entanglement and $bc$-ghost CFTs
• Entanglement island, miracle operators and the firewall
• Scale vs Conformal invariance from Entanglement Entropy
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Informational properties of holographic Lifshitz field theory
• Bulk geometry from entanglement entropy of CFT
• Holographic measurement in CFT thermofield doubles
• Fast Scrambling due to Rotating Shockwaves in BTZ
• Strong-coupling dynamics and entanglement in de Sitter space
• Quantum Error Correction in the Black Hole Interior
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Page curve from dynamical branes in JT gravity
• Holographic Entanglement of Purification near a Critical Point
• Entanglement measures for non-conformal D-branes
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• More of the Bulk from Extremal Area Variations
• Entanglement asymmetry for boosted black branes
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Restricted Maximin surfaces and HRT in generic black hole spacetimes
• Shape dependence of renormalized holographic entanglement entropy
• All the entropies on the light-cone
• A Renyi Quantum Null Energy Condition: Proof for Free Field Theories
• Chaos and fast scrambling delays of dyonic Kerr-Sen-AdS${}_4$ black hole and its ultra-spinning version
• Anisotropic Flows into Black Holes
• Distinguishing Black Hole Microstates using Holevo Information
• Localized Plasma Balls
• Unambiguous Phase Spaces for Subregions
• Entanglement wedge cross-section in shock wave geometries
• Surface growth scheme for bulk reconstruction and tensor network
• Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
• Exactly Stable Collective Oscillations in Conformal Field Theory
• The evolutions of the innermost stable circular orbits in dynamical spacetimes
• Extremal Surfaces And Entanglement Entropy
• Inequalities of Holographic Entanglement of Purification from Bit Threads
• Into the Bulk: A Covariant Approach
• Entanglement in the Quantum Hall Matrix Model
• Erasure tolerant quantum memory and the quantum null energy condition in holographic systems
• Entwinement as a possible alternative to complexity
• Dynamics of the Area Law of Entanglement Entropy
• Islands and Light Gravitons in type IIB String Theory
• Entanglement and chaos near critical point in strongly coupled gauge theory
• Time-evolution of holographic entanglement entropy and metric perturbations
• Two infinite families of facets of the holographic entropy cone
• A First Law of Entanglement Rates from Holography
• On the relation between the subadditivity cone and the quantum entropy cone
• Reflected entropy in BCFTs on a black hole background
• Pseudo entropy under joining local quenches
• Rényi Mutual Information in Holographic Warped CFTs
• Algebras and Hilbert spaces from gravitational path integrals: Understanding Ryu-Takayanagi/HRT as entropy without AdS/CFT
• The Holographic Dual of the Entanglement Wedge Symplectic Form
• Double-Trace Deformations and Entanglement Entropy in AdS
• Matrix Entanglement
• Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields
• Schwarzschild de Sitter and extremal surfaces
• Outer Entropy and Quasilocal Energy
• Entanglement entropy and edge modes in topological string theory II: The dual gauge theory story
• A Tale of Two Butterflies: An Exact Equivalence in Higher-Derivative Gravity
• The Spacetime Geometry of Fixed-Area States in Gravitational Systems
• Islands and the de Sitter entropy bound
• Holographic Entanglement Entropy of Local Quenches in AdS${}_4$/CFT${}_3$: A Finite-Element Approach
• Boundary theories of critical matchgate tensor networks
• Black holes often saturate entanglement entropy the fastest
• Statistical Mechanics of Monitored Dissipative Random Circuits
• Entropy of Radiation with Dynamical Gravity
• Saturation of the Quantum Null Energy Condition in Far-From-Equilibrium Systems
• Non-equilibrium steady state formation in 3+1 dimensions
• A Modified Cosmic Brane Proposal for Holographic Renyi Entropy
• Mutual Information of Generalized Free Fields
• Islands in the Fluid: Islands are Common in Cosmology
• Geometrizing the Partial Entanglement Entropy: from PEE Threads to Bit Threads
• Holography Abhors Visible Trapped Surfaces
• Universal Bounds on the Time Evolution of Entanglement Entropy
• Entanglement Wedge Cross Section Growth During Thermalization
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
• Fast Scrambling of Mutual Information in Kerr-AdS${}_4$
• Quantum information scrambling and quantum chaos in little string theory
• RG Flows and Thermofield-Double States in Holography
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Gauging the bulk: generalized gauging maps and holographic codes
• Unitarity and Page curve for evaporation of 2D AdS black holes
• Quantum bit threads and holographic entanglement
• The refined quantum extremal surface prescription from the asymptotic equipartition property
• Global aspects of conformal symmetry and the ANEC in dS and AdS
• First Law of Entanglement Entropy in Flat-Space Holography
• Holographic entanglement entropy and generalized entanglement temperature
• Holographic Reconstruction of Bubbles
• Emergent gravity from relatively local Hamiltonians and a possible resolution of the black hole information puzzle
• Gravity from entanglement for boundary subregions
• On actions for (entangling) surfaces and DCFTs
• Does horizon entropy satisfy a Quantum Null Energy Conjecture?
• Entanglement entropy in top-down models
• Entanglement Thermodynamics of the Generalized Charged BTZ Black Hole
• Holographic entanglement and causal information in coherent states
• Quantum Decoherence with Holography
• The action of HRT-areas as operators in semiclassical gravity
• Nonlocal multi-trace sources and bulk entanglement in holographic conformal field theories
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Entanglement entropy and the large $N$ expansion of two-dimensional Yang-Mills theory
• On shape dependence of holographic entanglement entropy in AdS4/CFT3 with Lifshitz scaling and hyperscaling violation
• Subregion complexity in holographic thermalization with dS boundary
• Dynamics of Holographic Entanglement Entropy Following a Local Quench
• Wilsonian Effective Action and Entanglement Entropy
• Target space entanglement in quantum mechanics of fermions and matrices
• Entanglement entropy in scalar field theory and ${\mathbb{Z}}_M$ gauge theory on Feynman diagrams
• Circuit Complexity in ${\mathcal{Z}}_2$ $\mathcal{EEF}\mathcal{T}$
• Holographic Timelike Entanglement Entropy from Rindler Method
• Entanglement Conservation, ER=EPR, and a New Classical Area Theorem for Wormholes
• A comment on a fine-grained description of evaporating black holes with baby universes
• Holographic integral geometry with time dependence
• Subregion Entropy for the Doubly Holographic Global Black String
• Universality in holographic entropy production
• Classical Spacetimes as Amplified Information in Holographic Quantum Theories
• Comments on universal properties of entanglement entropy and bulk reconstruction
• Bounding entanglement wedge cross sections
• Time dependence of entanglement entropy on the fuzzy sphere
• Complexity growth in Gubser-Rocha models with momentum relaxation
• Python's Lunches in Jackiw-Teitelboim gravity with matter
• Renormalized entanglement entropy and curvature invariants
• Splitting interfaces in 4d $\mathcal{N}=4$ SYM
• Holographic Quenches and Fermionic Spectral Functions
• Black hole collapse and democratic models
• Modular Hamiltonian for de Sitter diamonds
• Metric Perturbations of Extremal Surfaces
• What's the Point? Hole-ography in Poincare AdS
• Large-$d$ phase transitions in holographic mutual information
• Rényi entropies and area operator from gravity with Hayward term
• Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies
• Non-Isometric Quantum Error Correction in Gravity
• From the Black Hole Conundrum to the Structure of Quantum Gravity
• On the entanglement contour of excited states in the holographic CFT
• Localized Excitations from Localized Unitary Operators
• Islands and Uhlmann phase: Explicit recovery of classical information from evaporating black holes
• Renormalization group and approximate error correction
• Holographic entanglement entropies for Schwarzschild and Reisner-Nordström black holes in asymptotically Minkowski spacetimes
• Testing holographic entropy inequalities in 2+1 dimensions
• Holographic quenches towards a Lifshitz point
• Corrections in the relative entropy of black hole microstates
• Holographic entanglement entropy is cutoff-covariant
• Relation between time- and spacelike entanglement entropy
• Time dependence of entanglement for steady state formation in AdS${}_3$/CFT${}_2$
• Generalized geodesic deviation equations and an entanglement first law for rotating BTZ black holes
• Holographic entanglement entropy of a $1+1$ dimensional $p$-wave superconductor
• Anomalous Gravitation and its Positivity from Entanglement
• Bulk Locality and Asymptotic Causal Diamonds
• Operational islands and black hole dissipation in JT gravity
• Localized chaos due to rotating shock waves in Kerr-AdS black holes and their ultraspinning version
• Entanglement Entropy and Modular Hamiltonian of free fermion with deformations on a torus
• Entanglement entropy of near-extremal black hole
• Chern-Simons Gravity Dual of BCFT
• Definitions of entwinement
• Universal Local Operator Quenches and Entanglement Entropy
• Algebra of operators in an AdS-Rindler wedge
• Fast Scrambling of mutual information in Kerr-AdS${}_{\text{5}}$
• Modular Hamiltonians and large diffeomorphisms in $Ad{S}_3$
• Holographic Quenches with a Gap
• On a lightlike limit of entanglement
• Thread/State correspondence: from bit threads to qubit threads
• Positive gravitational subsystem energies from CFT cone relative entropies
• Holographic Complexity in FRW Spacetimes
• Holographic Entanglement Entropy of the Coulomb Branch
• Holographic Approach to Entanglement Entropy in Disordered Systems
• The holographic dual of Rényi relative entropy
• A model of quantum gravity with emergent spacetime
• Infrared Effects in the Late Stages of Black Hole Evaporation
• Holographic scattering and non-minimal RT surfaces
• Complexity growth of massive black hole with a probe string
• Background independent tensor networks
• Holographic Entanglement Entropy in Boundary Quantum Field Theory
• Free-kick condition for entanglement entropy in higher curvature gravity
• Entanglement Wedge Cross Section Inequalities from Replicated Geometries
• On minimal entanglement wedge cross section for holographic entanglement negativity
• Non-geometric States in a Holographic Conformal Field Theory
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• Subsystem complexity after a local quantum quench
• Mixed-state Entanglement for AdS Born-Infeld Theory
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Entanglement Entropy in Internal Spaces and Ryu-Takayanagi Surfaces
• Holographic equivalence between the first law of entanglement entropy and the linearized gravitational equations
• Entanglement Entropy in Jammed CFTs
• A gap between holographic and quantum mechanical extreme rays of the subadditivity cone
• Entanglement entropy and the first law at third order for boosted black branes
• Multipartite entanglement and topology in holography
• Time-dependent quantum correlations in two-dimensional expanding spacetime
• Exploring causality in braneworld/cutoff holography via holographic scattering
• The Holographic Entropy Cone in AdS-Vaidya Spacetimes
• Entropy Linear Response Theory with Non-Markovian Bath
• Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench
• Bulk private curves require large conditional mutual information
• Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime
• Probing AdS Wormholes by Entanglement Entropy
• Quantum Error Correction and Holographic Information from Bilocal Holography
• Diving inside holographic metals
• Thermalization of Randomly Coupled SYK Models
• Understanding holographic error correction via unique algebras and atomic examples
• Holographic thermal entropy from geodesic bit threads
• Action complexity of charged black holes with higher derivative interactions
• Quantum Entanglement on Black Hole Horizons in String Theory and Holography
• Pseudo entropy and pseudo-Hermiticity in quantum field theories
• Closed FRW holography: A time-dependent ER=EPR realization
• Sum rule for the pseudo-Rényi entropy
• On the Shape of Things: From holography to elastica
• Entanglement Negativity and Replica Symmetry Breaking in General Holographic States
• Marginally Trapped Surfaces and AdS/CFT
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization
• Improved proof-by-contraction method and relative homologous entropy inequalities
• Mixed state information theoretic measures in boosted black brane
• Lectures on Bulk Reconstruction
• Multipartite Optimized Correlation Measures and Holography
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Non-analyticity of holographic Rényi entropy in Lovelock gravity
• Topological string entanglement
• Optimized Correlation Measures in Holography
• Explicit reconstruction of the entanglement wedge via the Petz map
• Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
• Bit Threads and the Membrane Theory of Entanglement Dynamics
• Holographic Complexity for disentangled states
• Berry curvature, horocycles and scattering states in $Ad{S}_3/CF{T}_2$
• Fidelity susceptibility for Lifshitz geometries via Lifshitz Holography
• Deriving the First Law of Black Hole Thermodynamics without Entanglement
• Finite Entanglement Entropy in String Theory
• Static Elliptic Minimal Surfaces in AdS(4)
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Reflected multi-entropy and its holographic dual
• 't Hooft suppression and holographic entropy
• Black Hole Information Recovery in JT Gravity
• Holevo Information of Black Hole Mesostates
• Entanglement Entropy and Duality in AdS(4)
• Holographic entanglement entropy and thermodynamic instability of planar R-charged black holes
• Minimal Areas from Entangled Matrices
• Radiation in Fluid/Gravity and the Flat Limit
• Toward Krylov-based holography in double-scaled SYK
• Constructing entanglement wedges for Lifshitz spacetimes with Lifshitz gravity
• $dS$ extremal surfaces, replicas, boundary Renyi entropies in $dS/CFT$ and time entanglement
• A framework for generalizing toric inequalities for holographic entanglement entropy
• Entanglement entropy of two dimensional systems and holography
• Entanglement entropy in inhomogeneous quenches in AdS${}_3$/CFT${}_2$
• Delicate windows into evaporating black holes
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Negative Complexity of Formation: the Compact Dimensions Strike Back
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Note on surface growth approach for bulk reconstruction
• Time-independent wormholes
• Minimax surfaces and the holographic entropy cone
• Proof of Renyi QNEC for free fermions
• Electric fields and quantum wormholes
• The entanglement entropy of typical pure states and replica wormholes
• Entanglement entropy and non-local duality: quantum channels and quantum algebras
• Mixed state entanglement in deformed field theory at finite temperature
• Holographic Entanglement Entropy in NMG
• A Holographic Bound for D3-Brane
• Holographic signatures of resolved cosmological singularities
• Strong Subadditivity and Emergent Surface
• Entanglement Entropy of Annulus in Holographic Thermalization
• Entanglement Entropy with Background Gauge Fields
• Binary AdS black holes coupled to a bath in Type IIB
• Holographic entanglement from the UV to the IR
• Entanglement structures from modified IR geometry
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Quantum chaos in the presence of non-conformality
• The Tortoise and the Hare: A Causality Puzzle in AdS/CFT
• Replica wormhole as a vacuum-to-vacuum transition
• Vertex operators for an expanding universe
• Subsystem entropy in 2d CFT and KdV ETH
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Losing the IR: a Holographic Framework for Area Theorems
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• Complexity growth of BTZ black hole in massive gravity with a null string
• Spectrum of Modular Hamiltonian in the Vacuum and Excited States
• Constraining higher order gravities with subregion duality
• Holographic control of information and dynamical topology change for composite open quantum systems
• Violation of the quantum null-energy condition in a holographic wormhole and infrared effects
• Entanglement entropy on finitely ramified graphs
• Renormalized Holographic Subregion Complexity under Relevant Perturbations
• Bulk Matter and the Boundary Quantum Null Energy Condition
• Entropy of Thermal CFTs on Curved Backgrounds
• A falling magnetic monopole as a holographic local quench
• On the first law of entanglement for Quasi-Topological gravity
• Inverted c-functions in thermal states
• Universal entanglement timescale for Rényi entropies
• The Torus Operator in Holography
• Complexity from Spinning Primaries
• Large and Small Corrections to the JLMS Formula from Replica Wormholes
• Tunable Geometries in Sparse Clifford Circuits
• Thermodynamic and Holographic Information Dual to Volume
• Holographic Cavalieri Principle as a Universal relation between Holographic Complexity and Holographic Entanglement Entropy
• Entanglement Negativity and Defect Extremal Surface
• Holographic entanglement entropy of the double Wick rotated BTZ black hole
• Comments on Entanglement Propagation
• Charge transport properties in a novel holographic quantum phase transition model
• Emergent Horizons and Causal Structures in Holography
• Holographic n-partite Information in Hyperscaling Violating Geometry
• Geometric Quantum Discord Signals Non-Factorization
• Black hole complementarity from microstate models: A study of information replication and the encoding in the black hole interior
• Beyond the Holographic Entropy Cone via Cycle Flows
• Holographic thermalization from non relativistic branes
• Holographic entanglement entropy for massive flavours in dS_4
• RG Flow and Thermodynamics of Causal Horizons in Higher-Derivative AdS Gravity
• Fake gaps in AdS_3/CFT_2
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Scrambling in charged hairy black holes and the Kasner interior
• Duality of Ryu-Takayanagi surfaces inside and outside the horizon
• Holographic moving mirrors
• Entropy from AdS(3)/CFT(2)
• Dynamics and Observer-Dependence of Holographic Screens
• Rényi entropy at large energy density in 2D CFT
• Holographic Interpretation of Shannon Entropy of Coherence of Quantum Pure States
• Weighting gates in circuit complexity and holography
• Algorithmic construction of SSA-compatible extreme rays of the subadditivity cone and the $\mathsf{N}=6$ solution
• A perturbative expansion for entanglement entropy in string theory
• Momentum-space entanglement after smooth quenches
• Measuring the Black Hole Interior from the Exterior
• Holographic entanglement entropy and complexity for the cosmological braneworld model
• Compactified extra dimension and entanglement island as clues to quantum gravity
• The Holographic Map of an Evaporating Black Hole
• Causal Density Matrices
• Counting atypical black hole microstates from entanglement wedges
• Geometrothermodynamics for Black holes and de Sitter Space
• Bulk Connectedness and Boundary Entanglement
• Sine-Gordon Theory : Entanglement entropy and holography
• Reconstruction of an AdS Radiation/Boson Star Bulk Geometry Using Light-cone Cuts
• Soliton Stars as Holographic Confined Fermi Liquids
• A perturbative study on the analytic continuation for generalized gravitational entropy
• Glimmers of a post-geometric perspective
• Towards bit threads in general gravitational spacetimes
• Non-extremal Island in de Sitter Gravity
• Holographic complexity for nonlinearly charged Lifshitz black holes
• Outer entropy = Bartnik-Bray inner mass, and the gravitational ant conjecture
• N-level ghost-spins and entanglement
• The area operator and fixed area states in conformal field theories
• Entanglement Entropy Inequalities in BCFT by Holography
• Einstein's equations and the pseudo-entropy of pseudo-Riemannian information manifolds
• Holographic insights and puzzles
• Geodesic motion around a supersymmetric AdS5 black hole
• A Tale of Two Saddles
• State dependent spread of entanglement in relatively local Hamiltonians
• Generalized Clausius inequalities and entanglement production in holographic two-dimensional CFTs
• Field equations and particle motion in covariant emergent gravity
• Unitarity and the information problem in an explicit model of black hole evaporation
• Emergent spacetime & Quantum Entanglement in Matrix theory
• Entanglement Entropy with a Time-dependent Hamiltonian
• Quantum Holographic Entanglement Entropy to All Orders in $1/N$ Expansion
• Holographic Entanglement Entropy, Complexity, Fidelity Susceptibility and Hierarchical UV/IR Mixing Problem in $AdS_2/\mbox{open strings}$
• The Page curve from the entanglement membrane
• The Markov gap for geometric reflected entropy
• On the Holographic Entanglement Entropy for Non-smooth Entangling Curves in AdS(4)
• Geometry-Information Duality: Quantum Entanglement Contributions to Gravitational Dynamics
• Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum
• Island mirages
• D3 branes in a Melvin universe: a new realm for gravitational holography
• Complexity Conjecture of Regular Electric Black Holes
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• Information paradox and island of covariant black holes in LQG
• Field theory aspects of $\eta$-deformed superstring background
• Entanglement in conformal field theory and holography
• Warping Wormholes with Dust: a Metric Construction of the Python's Lunch
• The landscape of complexity measures in 2D gravity
• A trace inequality for Euclidean gravitational path integrals (and a new positive action conjecture)
• Holographic timelike entanglement in AdS${}_3$ Vaidya
• Revisit the entanglement entropy with gravitational anomaly
• Semiclassical S-matrix and black hole entropy in dilaton gravity
• Puzzles and pitfalls involving Haar-typicality in holography
• Holographic Entanglement Entropy for Gravitational Anomaly in Four Dimensions
• Holographic entanglement entropy and complexity of microstate geometries
• Fixing three dimensional geometries from entanglement entropies of CFT${}_2$
• The Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2
• More on entanglement properties of $Li{f}_4^{(2)}\times S^1\times S^5$ spacetime with string excitations
• Emergent Dark Gravity from (Non)Holographic Screens
• Butterfly Velocities for Holographic Theories of General Spacetimes
• Weaving the (AdS) spaces with partial entanglement entropy threads
• Far-from-equilibrium energy flow and entanglement entropy
• Reconstructing bulk equation of motion using CFT modular Hamiltonians
• Upper bounds of holographic entanglement entropy growth rate for thermofield double states
• Relational bulk reconstruction from modular flow
• Insensitivity of the complexity rate of change to the conformal anomaly and Lloyd's bound as a possible renormalization condition
• Geometric realization of stress-tensor deformed field theory
• Non-trivial saddles in microscopic description of black holes
• Geometric Surprises in the Python's Lunch Conjecture
• Entanglement wedge cross section inequalities in AdS/BCFT
• Holographic phenomenology via overlapping degrees of freedom
• Shrinking of Operators in Quantum Error Correction and AdS/CFT
• Subregion duality, wedge classification and no global symmetries in AdS/CFT
• Strong subadditivity and holography
• Conformal quantum mechanics and holographic quench
• QCD, with Strings Attached
• Probabilistic deconstruction of a theory of gravity, Part I: flat space
• Shear transport in far-from-equilibrium isotropization of supersymmetric Yang-Mills plasma
• Cryptographic tests of the python's lunch conjecture
• Gravity dualities of quantum distances
• Bit Threads: From Entanglement to Geometric Entropies
• Discrete Bulk Reconstruction
• Quantum correlation in quark-gluon medium
• Entanglement Entropy and Thermodynamics of Dynamical Black Holes
• Entanglement Negativity in Flat Holography
• Island rules for the noncommutative black hole
• Clock-dependent spacetime
• Holographic Rényi relative divergence in JT gravity
• Shape dependence of mutual information in the OPE limit: linear responses
• Light-cone cuts and hole-ography: explicit reconstruction of bulk metrics
• HEE and HSC for flavors: perturbative structure in open string geometries
• Phase Transitions of Correlations in Black Hole Geometries
• Realize Emergent Gravity to Generic Situations
• What's inside a hairy black hole in massive gravity?
• Holographic approach to thermalization in general anisotropic theories
• Holographic entanglement entropy for $Li{f}_4^{(2)}\times S^1\times S^5$ spacetime with string excitations
• Adiabatic corrections to holographic entanglement in thermofield doubles and confining ground states
• On SYK traversable wormhole with imperfectly correlated disorders
• Linearized Field Equations of Gauge Fields from the Entanglement First Law
• Spatially Structured Entanglement from Nonequilibrium Thermal Pure States
• Holographic timelike entanglement and $c$ theorem for supersymmetric QFTs in ($0+1$)d
• Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
• Island of acoustic black hole in Schwarzschild spacetime
• Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
• Probabilistic deconstruction of a theory of gravity, Part II: curved space
• Geometry of Entanglement
• Linearized Einstein's Equation around pure BTZ from Entanglement Thermodynamics
• Exploring uberholography
• Massless graviton in a model of quantum gravity with emergent spacetime
• Editorial: New Frontiers in Holographic Duality -- From quantum complexity and black holes to hydrodynamics and neutron stars
• Complexity of Magnetization and Magnetic Simplification
• Holography and the Page curve of an evaporating black hole
• Is the EMI model a QFT? An inquiry on the space of allowed entropy functions
• Fixing the AdS${}_3$ metric from the pure state entanglement entropies of CFT${}_2$
• Diagnosing quantum phase transition via holographic entanglement entropy at finite temperature
• Causal shadow and non-local modular flow: from degeneracy to perturbative genesis by correlation
• Scanning space-time with patterns of entanglement
• Euclidean and complex geometries from real-time computations of gravitational Rényi entropies
• Holographic entanglement negativity for disjoint subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$
• Modave Lectures on Quantum Information: An Introduction to Channels and Applications to Black Holes and AdS/CFT
• Finite complexity of the de Sitter vacuum
• Second-order Lovelock Gravity from Entanglement in Conformal Field Theories
• Cluster algebraic description of entanglement patterns for the BTZ black hole
• Chaos-protected locality
• Caustics bounding entanglement wedges
• Covariant higher order perturbations of branes in curved spacetime
• Spread of Entanglement in Non-Relativistic Theories
• Holographic entanglement entropy for relativistic hydrodynamic flows
• Perturbative distinguishability of black hole microstates from AdS/CFT correspondence
• Upper bound of holographic entanglement entropy combinations
• Mutual information and holographic entanglement entropy for strongly-coupled R-charged plasmas
• Entangled universes
• Black Hole Complementarity and ER/EPR
• Holographic entanglement negativity for a single subsystem in conformal field theories with a conserved charge
• Covariant odd entanglement entropy in AdS${}_3$/CFT${}_2$
• Holographic Screen Sequestration
• Page curves and island's delays in asymptotically flat 2d spacetimes with injections
• Thermal Correction to Entanglement Spectrum for Conformal Field Theories
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
• Conformal Rigidity from Focusing
• Holographic AME states in black hole interiors
• Disks globally maximize the entanglement entropy in $2+1$ dimensions
• D5-brane in AdS black holes with nonzero gauge flux
• Bulk entanglement and its shape dependence
• Holography in Quark-Gluon Plasma and Neutron Stars
• Bulk reconstruction of AdS${}_{d+1}$ metrics and developing kinematic space
• Holographic Tensor Networks as Tessellations of Geometry
• Spectral Projections for Density Matrices in Quantum Field Theories
• Holography and quantum information exchange between systems
• Non-relativistic geometry of holographic screens
• Holographic timelike entanglement and subregion complexity with scalar hair
• Entanglement Entropy and Complexity of Multicomponent Universe from Holography
• Boundary mutual information in double holography
• Holographic entanglement entropy, Wilson loops, and neural networks
• Hofstadter's Butterfly in AdS${}_3$ Black Holes
• Massless Islands in Wedge Holography
• Evolution of the holographic entanglement entropy quantities for composite quantum systems
• Metric--Measure Geometry and Geometric Analogues of Holographic Extremal Surfaces
• Holography as an Information Principle in Quantum Gravity
• Checking volume-law entropy with HRT surfaces
• Entanglement in descendants
• Replica wormhole and AMPS firewall
• Non-equilibrium phase and entanglement entropy in 2D holographic superconductors via Gauge-String duality
• Noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole
• Entanglement entropy and its linear response following a global quench in holographic Gauss-Bonnet gravity
• Causal holographic information does not satisfy the linearized quantum focusing condition
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff
• Holography for de Sitter bubble geometries
• Tenfold Way for Holography : AdS/CFT and Beyond
• Emergent geometry through quantum entanglement in Matrix theories
• String Scattering and Evolution of Ryu-Takayanagi Surface
• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Dirac-Born-Infeld Counter-Term and Black Hole Thermodynamics
• Bubble quenches in the AdS/BCFT model
• Quantization of Open strings in time dependent Black Holes
• Holographic Local Operator Quenches in BCFTs
• Quantum Chaos and Unitary Black Hole Evaporation
• Black Hole Entropy from Entropy of Hawking Radiation
• Entanglement Suppression Due to Black Hole Scattering
• Cosmological constant as quantum error correction from generalised gauge invariance in double field theory
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model