Replica Wormholes and the Entropy of Hawking Radiation

Abstract

The information paradox can be realized in anti-de Sitter spacetime joined to a Minkowski region. In this setting, we show that the large discrepancy between the von Neumann entropy as calculated by Hawking and the requirements of unitarity is fixed by including new saddles in the gravitational path integral. These saddles arise in the replica method as complexified wormholes connecting different copies of the black hole. As the replica number $n\to 1$, the presence of these wormholes leads to the island rule for the computation of the fine-grained gravitational entropy. We discuss these replica wormholes explicitly in two-dimensional Jackiw-Teitelboim gravity coupled to matter.

46 pages; v2 references added

References in corpus (50)

• An Alternative to Compactification
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• A Covariant Holographic Entanglement Entropy Proposal
• Eternal Black Holes in AdS
• Generalized gravitational entropy
• Information in Black Hole Radiation
• On Geometric Entropy
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• Bulk Locality and Quantum Error Correction in AdS/CFT
• The Page curve of Hawking radiation from semiclassical geometry
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Chaos in AdS${}_2$ holography
• Locally Localized Gravity
• An Investigation of AdS${}_2$ Backreaction and Holography
• Entanglement entropy in free quantum field theory
• Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
• Relative entropy equals bulk relative entropy
• Time Dependence of Hawking Radiation Entropy
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• Entanglement and alpha entropies for a massive Dirac field in two dimensions
• Deriving covariant holographic entanglement
• Black hole thermodynamics and information loss in two dimensions
• Islands outside the horizon
• Information radiation in BCFT models of black holes
• JT gravity as a matrix integral
• A semiclassical ramp in SYK and in gravity
• Entropy, Extremality, Euclidean Variations, and the Equations of Motion
• Models of AdS_2 Backreaction and Holography
• Simple holographic models of black hole evaporation
• A Possible Resolution of the Black Hole Information Puzzle
• Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity
• Information Flow in Black Hole Evaporation
• Learning the Alpha-bits of Black Holes
• Unitarity From a Smooth Horizon?
• Evaporation of large black holes in AdS: coupling to the evaporon
• Large Breakdowns of Entanglement Wedge Reconstruction
• Evaporation dynamics of the Sachdev-Ye-Kitaev model
• Towards Black Hole Evaporation in Jackiw-Teitelboim Gravity
• Entanglement Wedge Reconstruction and the Information Paradox
• Traversable wormholes in four dimensions
• What is the dual of two entangled CFTs?
• Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Entanglement Entropy in Jackiw-Teitelboim Gravity

Cited by in corpus (510)

• The entropy of Hawking radiation
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
• Massive Islands
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Information Transfer with a Gravitating Bath
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Information radiation in BCFT models of black holes
• Inconsistency of Islands in Theories with Long-Range Gravity
• The statistical mechanics of near-extremal black holes
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Islands in Schwarzschild black holes
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• The Weak Gravity Conjecture: A Review
• An Information Paradox and Its Resolution in de Sitter Holography
• Page Curve for an Evaporating Black Hole
• Large N algebras and generalized entropy
• Islands in Asymptotically Flat 2D Gravity
• Gravity/Ensemble Duality
• Free partition functions and an averaged holographic duality
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Islands in de Sitter space
• BCFT entanglement entropy at large central charge and the black hole interior
• Semiclassical 3D gravity as an average of large-c CFTs
• Notes on islands in asymptotically flat 2d dilaton black holes
• Entanglement entropy in holographic moving mirror and Page curve
• Eigenstate Thermalization and Disorder Averaging in Gravity
• The Holographic Nature of Null Infinity
• Island in the Presence of Higher Derivative Terms
• Edge modes of gravity -- II: Corner metric and Lorentz charges
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Observations of Hawking radiation: the Page curve and baby universes
• Liouville quantum gravity -- holography, JT and matrices
• Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes
• Islands for Reflected Entropy
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Generalized entropy for general subregions in quantum gravity
• Island in Charged Black Holes
• Free Energy from Replica Wormholes
• Islands and Page curves in 4d from Type IIB
• A violation of global symmetries from replica wormholes and the fate of black hole remnants
• Replica wormholes for an evaporating 2D black hole
• Islands and Page curves of Reissner-Nordström black holes
• BCFT and Islands in Two Dimensions
• Dirichlet Baths and the Not-so-Fine-Grained Page Curve
• Global symmetry, Euclidean gravity, and the black hole information problem
• Islands in charged linear dilaton black holes
• Pulling Out the Island with Modular Flow
• Late time physics of holographic quantum chaos
• Reflected Entropy for an Evaporating Black Hole
• Quantum Information in Holographic Duality
• Leading order corrections to the quantum extremal surface prescription
• Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
• AdS Euclidean wormholes
• Pure de Sitter space and the island moving back in time
• Islands and stretched horizon
• Geometric secret sharing in a model of Hawking radiation
• Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics
• Effective entropy of quantum fields coupled with gravity
• Entanglement between two disjoint universes
• The central dogma and cosmological horizons
• The universality of islands outside the horizon
• Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
• Comments on wormholes, ensembles, and cosmology
• Open quantum systems and Schwinger-Keldysh holograms
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• More quantum noise from wormholes
• Probing Hawking radiation through capacity of entanglement
• From a locality-principle for new physics to image features of regular spinning black holes with disks
• Euclidean wormhole in the SYK model
• A World without Pythons would be so Simple
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• The ghost in the radiation: Robust encodings of the black hole interior
• Wormholes and black hole microstates in AdS/CFT
• Gravitational Constrained Instantons
• Replica wormholes and capacity of entanglement
• Limits of JT gravity
• Dilaton-gravity, deformations of the minimal string, and matrix models
• Entanglement entropy of asymptotically flat non-extremal and extremal black holes with an island
• Defect extremal surface as the holographic counterpart of Island formula
• Wormhole calculus, replicas, and entropies
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• New boundary conditions for AdS${}_2$
• Page Curve and the Information Paradox in Flat Space
• Gravity factorized
• Subleading Weingartens
• Conservation and Integrability in Lower-Dimensional Gravity
• Islands in Linear Dilaton Black Holes
• Signatures of global symmetry violation in relative entropies and replica wormholes
• Entanglement entropies of equilibrated pure states in quantum many-body systems and gravity
• Page curves for a family of exactly solvable evaporating black holes
• A Derivation of AdS/CFT for Vector Models
• Symmetry-resolved Page curves
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Real-time gravitational replicas: Formalism and a variational principle
• Islands in Flat-Space Cosmology
• Shaping contours of entanglement islands in BCFT
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• Islands in Kaluza-Klein black holes
• Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes, Part II
• Defect Extremal Surface for Reflected Entropy
• Sailing past the End of the World and discovering the Island
• Thermodynamic ensembles with cosmological horizons
• An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• Circuit Complexity From Cosmological Islands
• Carroll black holes
• A brief introduction to observational entropy
• Wormholes & Holography: An Introduction
• Island, Page Curve and Superradiance of Rotating BTZ Black Holes
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• Bath deformations, islands and holographic complexity
• Probing phase transitions of holographic entanglement entropy with fixed area states
• Causal Structures and Nonlocality in Double Holography
• Holographic spacetime, black holes and quantum error correcting codes: A review
• The Page Curve for Reflected Entropy
• Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
• Island Finder and Entropy Bound
• Finding Pythons in Unexpected Places
• Enhanced corrections near holographic entanglement transitions: a chaotic case study
• Page Curves and Bath Deformations
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Holography for people with no time
• Wormholes without averaging
• Warped Information and Entanglement Islands in AdS/WCFT
• ER = EPR revisited: On the Entropy of an Einstein-Rosen Bridge
• A dynamical mechanism for the Page curve from quantum chaos
• Entanglement Wedge Reconstruction and the Information Paradox
• An integrable road to a perturbative plateau
• Finite Features of Quantum De Sitter Space
• Island and Page curve for one-sided asymptotically flat black hole
• Multipartite Purification, Multiboundary Wormholes and Islands in AdS${}_3$/CFT${}_2$
• Spectral method for metric perturbations of black holes: Kerr background case in general relativity
• Ensemble from Coarse Graining: Reconstructing the Interior of an Evaporating Black Hole
• Mutual information, islands in black holes and the Page curve
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Density matrices in quantum gravity
• Replica Wormholes and Holographic Entanglement Negativity
• Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands
• Hawking Radiation Correlations of Evaporating Black Holes in JT Gravity
• Looking for (and not finding) a bulk brane
• Islands for Entanglement Negativity
• Submerging islands through thermalization
• Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes
• Distinguishing Random and Black Hole Microstates
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Moving mirrors, Page curves and bulk entropies in AdS${}_2$
• Page Curve for Entanglement Negativity through Geometric Evaporation
• On aspects of 2-dim dilaton gravity, dimensional reduction and holography
• An entanglement asymmetry study of black hole radiation
• Quantum Extremal Surfaces and the Holographic Entropy Cone
• A JT supergravity as a double-cut matrix model
• Free fermion entanglement with a semitransparent interface: the effect of graybody factors on entanglement islands
• A universe field theory for JT gravity
• Islands with Gravitating Baths: Towards ER = EPR
• Echoes from Asymmetric Wormholes and Black Bounce
• Alpha states demystified: Towards microscopic models of AdS${}_2$ holography
• The role of mutual information in the Page curve
• On Free Energy for Deformed JT Gravity
• The PEE aspects of entanglement islands from bit threads
• Cosmological and black hole islands in multi-event horizon spacetimes
• Holographic BCFT with a Defect on the End-of-the-World Brane
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• Spectrum of End of the World Branes in Holographic BCFTs
• Averaging over moduli in deformed WZW models
• Homology Conditions for RT Surfaces in Double Holography
• Islands and mixed states in closed universes
• Island may not save the information paradox of Liouville black holes
• Negativity Spectra in Random Tensor Networks and Holography
• Spin structures and baby universes
• Gravitational Vacuum Condensate Stars
• Testing ER=EPR
• The Markov gap in the presence of islands
• A universal formula for the density of states in theories with finite-group symmetry
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Information transfer with a twist
• Note on entropy dynamics in the Brownian SYK model
• Random tensor networks with nontrivial links
• Scrambling and decoding the charged quantum information
• Local quenches, bulk entanglement entropy and a unitary Page curve
• Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
• Unruh detectors and quantum chaos in JT gravity
• JT Gravity from Partial Reduction and Defect Extremal Surface
• Black Hole Interior in Unitary Gauge Construction
• Microcanonical Action and the Entropy of Hawking Radiation
• Scalar perturbations of black holes in Jackiw-Teitelboim gravity
• Energy Transport for Thick Holographic Branes
• JT Gravity Limit of Liouville CFT and Matrix Model
• Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
• Canonical Purification of Evaporating Black Holes
• Holographic measurement and quantum teleportation in the SYK thermofield double
• Unitary Constraints on Semiclassical Schwarzschild Black Holes in the Presence of Island
• Spectral form factor for free large $N$ gauge theory and strings
• Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
• Entanglement entropy and Page curve of black holes with island in massive gravity
• Half-wormholes in SYK with one time point
• Deriving the PEE proposal from the Locking bit thread configuration
• Islands in Multiverse Models
• Rotating 5D Black Holes: Interactions and deformations near extremality
• Tunneling through an Eternal Traversable Wormhole
• The Multiverse in an Inverted Island
• The Entanglement Wedge of Unknown Couplings
• Quantum entanglement in cosmology
• On the Dynamics in the AdS/BCFT Correspondence
• Looking at Shadows of Entanglement Wedges
• Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
• Constraining the number of horizons with energy conditions
• Page Curves of Reissner-Nordström Black Hole in HD Gravity
• Accelerating Black Hole Thermodynamics with Boost Time
• Ownerless island and partial entanglement entropy in island phases
• Degenerate operators in JT and Liouville (super)gravity
• Slow scrambling in extremal BTZ and microstate geometries
• Closed universes in two dimensional gravity
• Defect extremal surfaces for entanglement negativity
• Bridging the static patches: de Sitter holography and entanglement
• Mutual information of subsystems and the Page curve for Schwarzschild de-Sitter black hole
• Page curves and Entanglement Islands for the Step-Function Vaidya Model of Evaporating Black Holes
• The dilaton gravity hologram of double-scaled SYK
• Islands in the Stream of Hawking Radiation
• Half-wormholes in nearly AdS${}_2$ holography
• Capacity of entanglement in random pure state
• Hints of Gravitational Ergodicity: Berry's Ensemble and the Universality of the Semi-Classical Page Curve
• A toy model for decoherence in the black hole information problem
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Partial Reduction and Cosmology at Defect Brane
• Entanglement and Confinement in Coupled Quantum Systems
• Bound entanglement in thermalized states and black hole radiation
• Overcounting of interior excitations: A resolution to the bags of gold paradox in AdS
• Radial Cutoffs and Holographic Entanglement
• Holographic boundary states and dimensionally-reduced braneworld spacetimes
• Quantum tasks require islands on the brane
• Late-Time Correlators and Complex Geodesics in de Sitter Space
• Holevo Information and Ensemble Theory of Gravity
• A note on the bulk interpretation of the Quantum Extremal Surface formula
• Quasi-normal modes and microscopic description of 2D black holes
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Topological violation of global symmetries in quantum gravity
• de Sitter at all loops: the story of the Schwinger model
• Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
• Deconstructing the Wormhole: Factorization, Entanglement and Decoherence
• Virasoro hair and entropy for axisymmetric Killing horizons
• Entanglement asymmetry in conformal field theory and holography
• Page curve and symmetries
• Cosmologies, singularities and quantum extremal surfaces
• Path Integrals for Causal Diamonds and the Covariant Entropy Principle
• Bootstrapping Quantum Extremal Surfaces I: The Area Operator
• dS${}_2$ Supergravity
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Entanglement between two gravitating universes
• Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
• Entanglement island, miracle operators and the firewall
• Quantum Error Correction in the Black Hole Interior
• A Puncture in the Euclidean Black Hole
• Fast Scrambling due to Rotating Shockwaves in BTZ
• Mixed-state entanglement and information recovery in thermalized states and evaporating black holes
• A note on ensemble holography for rational tori
• Perturbative calculations of entanglement entropy
• Complexity in a moving mirror model
• Microstructure in matrix elements
• Spectral form factor in the double-scaled SYK model
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Schwinger-Keldysh path integral for the quantum harmonic oscillator
• End of the World Brane meets $T\bar{T}$
• Page Curve from Non-Markovianity
• Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
• Soft black hole information paradox: Page curve from Maxwell soft hair of a black hole
• Seeing the Entanglement Wedge
• Page curve from dynamical branes in JT gravity
• Evaporation and information puzzle for 2D nonsingular asymptotically flat black holes
• Entanglement between two evaporating black holes
• Algebras and Hilbert spaces from gravitational path integrals: Understanding Ryu-Takayanagi/HRT as entropy without AdS/CFT
• JT gravity and the asymptotic Weil-Petersson volume
• Beyond islands: A free probabilistic approach
• The double cone geometry is stable to brane nucleation
• Measurement-induced phase transition in teleportation and wormholes
• Islands and Light Gravitons in type IIB String Theory
• Reflected entropy in BCFTs on a black hole background
• Comments on wormholes and factorization
• Evaporation of black holes in flat space entangled with an auxiliary universe
• Wormholes in Quantum Mechanics
• Islands and the de Sitter entropy bound
• Post-Quantum Quench Growth of Renyi Entropies in Low Dimensional Continuum Bosonic Systems
• A Modified Cosmic Brane Proposal for Holographic Renyi Entropy
• Islands and dynamics at the interface
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• Geometrizing the Partial Entanglement Entropy: from PEE Threads to Bit Threads
• On the questions of asymptotic recoverability of information and subsystems in quantum gravity
• Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Simple analog of the black-hole information paradox in quantum Hall interfaces
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Real-time gravitational replicas: Low dimensional examples
• An order-unity correction to Hawking radiation
• How does the Planck scale affect qubits?
• Information paradox and island in quasi-de Sitter space
• Quantum Love
• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Quantum bit threads and holographic entanglement
• Soft modes in $\mathcal{N}=2$ SYK model
• The refined quantum extremal surface prescription from the asymptotic equipartition property
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Semiclassical Gravity from Averaged Boundaries in two-dimensional BCFTs
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• Unitarity and Page curve for evaporation of 2D AdS black holes
• Quantum Error Correction from Complexity in Brownian SYK
• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• Black hole evolution in quantum-gravitational framework
• A Solvable Model of Flat Space Holography
• Replica wormhole and island incompatibility with monogamy of entanglement
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• Islands in Proliferating de Sitter Spaces
• Radiation, entanglement and islands from a boundary local quench
• Weak chaos and mixed dynamics in the string S-matrix
• New Chiral Gravity
• A comment on a fine-grained description of evaporating black holes with baby universes
• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes
• A "black hole theorem," and its implications
• Renormalized entanglement entropy and curvature invariants
• The black hole information puzzle and the quantum de Finetti theorem
• Wormholes from Averaging over States
• Quantum Information Theory of the Gravitational Anomaly
• Holography of information in massive gravity using Dirac brackets
• Holographic baby universes: an observable story
• Gravity without averaging
• The Schwarzian sector of higher spin CFTs
• 2d TQFT and baby universes
• From the Black Hole Conundrum to the Structure of Quantum Gravity
• Non-Isometric Quantum Error Correction in Gravity
• Spontaneous Radiation of Black Holes
• Einstein-Rosen bridge from the minimal length
• dS${}_2$ as excitation of AdS${}_2$
• Schrödinger evolution of two-dimensional black holes
• Islands and Uhlmann phase: Explicit recovery of classical information from evaporating black holes
• Strong-to-weak Symmetry Breaking and Entanglement Transitions
• Wormhole calculus without averaging from $O(N{)}^{q-1}$ tensor model
• Complexity via Replica Trick
• Operational islands and black hole dissipation in JT gravity
• The Holar Wind
• Infrared Effects in the Late Stages of Black Hole Evaporation
• Analogue gravity and the island prescription
• Evaporating Black Holes Coupled to a Thermal Bath
• TCC bounds on the static patch of de Sitter space
• Black holes Entangled by Radiation
• Black hole-wormhole collisions and the emergence of islands
• Branes in JT (super)gravity from group theory
• Closed FRW holography: A time-dependent ER=EPR realization
• Holographic Reflected Entropy and Islands in Interface CFTs
• Quantum Error Correction and Holographic Information from Bilocal Holography
• Generalised second law beyond the semiclassical regime
• Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm
• Exploring causality in braneworld/cutoff holography via holographic scattering
• Black Hole Information Recovery in JT Gravity
• Ensemble averages, Poisson processes and Microstates
• Correlated Worldline theory: Structure and Consistency
• Before the Page time: maximum entanglements or the return of the monster?
• Non-Abelian entanglement asymmetry in random states
• Concerns about the replica wormhole derivation of the island conjecture
• Black hole wavefunctions and microcanonical states
• Shadows and photon spheres in static and rotating traversable wormholes
• Quenched free energy in random matrix model
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Resolving information loss paradox with Euclidean path integral
• The Devil in the (Implicit) Details. On the AMPS Paradox and its Resolution
• Multi-trace Correlators in the SYK Model and Non-geometric Wormholes
• On the saturation of late-time growth of complexity in supersymmetric JT gravity
• Delicate windows into evaporating black holes
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• Replica Wormholes from Liouville Theory
• Path integrals in JT gravity and Virasoro constraints
• Kerr Black Hole Evaporation and Page Curve
• Binary AdS black holes coupled to a bath in Type IIB
• The entanglement entropy of typical pure states and replica wormholes
• Ergodic Equilibration of Rényi Entropies and Replica Wormholes
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Black hole microstates vs. the additivity conjectures
• Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamics
• Phase transition in von Neumann entanglement entropy from replica symmetry breaking
• Recovering Infalling Information via String Spreading
• Lectures in Quantum Gravity
• Pacman geometries and the Hayward term in JT gravity
• Replica wormhole as a vacuum-to-vacuum transition
• Black bounces and remnants in dilaton gravity
• Nonperturbative gravity corrections to bulk reconstruction
• Wormholes with Ends of the World
• Observers seeing gravitational Hilbert spaces: abstract sources for an abstract path integral
• Multiway Junction Conditions: Booklets and Webs
• Entanglement inside a black hole before the Page time
• Black hole complementarity from microstate models: A study of information replication and the encoding in the black hole interior
• Holographic moving mirrors
• Page Curves and Islands in Charged Dilaton Black Holes
• Baby universes in 2d and 4d theories of quantum gravity
• Correlation functions for open strings and chaos
• Microstate Distinguishability, Quantum Complexity, and the Eigenstate Thermalization Hypothesis
• Complexity from Spinning Primaries
• Entanglement Negativity and Defect Extremal Surface
• Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
• Stringy Forces in the Black Hole Interior
• A black hole toy model with non-local and boundary modes from non-trivial boundary conditions
• General Solutions of Einstein Gravity at $D\to 2$
• Ryu-Takayanagi Formula for Multi-Boundary Black Holes from 2D Large-$c$ CFT Ensemble
• One-loop partition function of gravity with leaky boundary conditions
• Inverted c-functions in thermal states
• Page Curve and Entanglement Dynamics in an Interacting Fermionic Chain
• On the Nonequilibrium Dynamics of Gravitational Algebras
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Towards bit threads in general gravitational spacetimes
• Non-extremal Island in de Sitter Gravity
• Random pure Gaussian states and Hawking radiation
• Topological Origin of Horizon Temperature via the Chern-Gauss-Bonnet Theorem
• Measuring the Black Hole Interior from the Exterior
• Glimmers of a post-geometric perspective
• Quantum Gravity on a Manifold with boundaries: Schrödinger Evolution and Constraints
• Wormholes and surface defects in rational ensemble holography
• A Microscopic Model of Black Hole Evaporation in Two Dimensions
• (Half) Wormholes under Irrelevant Deformation
• Compactified extra dimension and entanglement island as clues to quantum gravity
• Retrieving black hole information from the main Lorentzian saddle point
• Entanglement entropy and edge modes in topological string theory: I
• The Holographic Map of an Evaporating Black Hole
• A Tale of Two Saddles
• Dynamical quantum phase transitions from random matrix theory
• Notes on Wormhole Cancellation and Factorization
• Encoded information of mixed correlations: the views from one dimension higher
• Humeanism in Light of Quantum Gravity
• Multi-boundary correlators in JT gravity
• Baby universes, ensemble averages and factorizations with matters
• Black hole production, eternal inflation, and information in quasi-de Sitter space
• Null states and time evolution in a toy model of black hole dynamics
• Entanglement entropy in Jackiw-Teitelboim gravity with matter
• Lifshitz tails at spectral edge and holography with a finite cutoff
• Information paradox and island of covariant black holes in LQG
• Evaporating black holes and late-stage loss of soft hair
• Semiclassical S-matrix and black hole entropy in dilaton gravity
• Entanglement in conformal field theory and holography
• Sharp Page transitions in generic Hamiltonian dynamics
• Upper bounds of holographic entanglement entropy growth rate for thermofield double states
• A 2-Replica Wormhole
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Charge fluctuation entropy of Hawking radiation: a replica-free way to find large entropy
• Graviton Mass and Entanglement Islands in Low Spacetime Dimensions
• On Quantum Information Before the Page Time
• Relational bulk reconstruction from modular flow
• Effect of backreaction on Island, Page curve and Mutual Information
• The Page curve from the entanglement membrane
• Free energy landscape and kinetics of phase transition in two coupled SYK models
• Late time behavior of $n$-point spectral form factors in Airy and JT gravities
• Holographic phenomenology via overlapping degrees of freedom
• Emergence of ER=EPR from non-local gravitational energy
• Quantum black holes as solvents
• On SYK traversable wormhole with imperfectly correlated disorders
• Non-trivial saddles in microscopic description of black holes
• Phases of Euclidean wormholes in JT gravity
• Island rules for the noncommutative black hole
• Product of Random States and Spatial (Half-)Wormholes
• Kappa vacua: Enhancing the Unruh temperature
• Gravitational-wave signatures of nonviolent nonlocality
• Phase Transition in JT Gravity and $T\bar{T}$ Deformation
• Island of acoustic black hole in Schwarzschild spacetime
• Gauge Invariant Propagators and States in Quantum Electrodynamics
• Glassy gravity
• Holography and the Page curve of an evaporating black hole
• Eigenstate Thermalization in the Two-Site SYK and SYK Chain Models
• Investigating the role of mutual information in the Page curve for a functional renormalization group improved Schwarzschild black hole
• Thermodynamics of the 3-dimensional Einstein-Maxwell system
• Higher spin wormholes from modular bootstrap
• Estimating time in quantum chaotic systems and black holes
• On the assumptions leading to the information loss paradox
• Gravitational algebras and applications to nonequilibrium physics
• Causal shadow and non-local modular flow: from degeneracy to perturbative genesis by correlation
• Global symmetry violation from non-isometric codes
• Euclidean and complex geometries from real-time computations of gravitational Rényi entropies
• On thermal radiation of de Sitter space in the semiclassical Jackiw-Teitelboim model
• On the stabilizer complexity of Hawking radiation
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• Circumventing the black hole hair-loss problem
• Coarse-Grained Fixed-Point Tensor Networks and Holographic Reflected Entropy in 3D Gravity
• Interior of the Horizon of BTZ Black Hole
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Many phases in a hairy box in three dimensions
• Holography for de Sitter bubble geometries
• Information surfaces and overflow fields: a unitary evolution model based on the principle of information curvature scaling
• New insights on mutual information in the island approach to the Page curve
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity
• State counting in gravity and maximal entropy principle
• Theory dependence of black hole interior reconstruction and the extended strong subadditivity
• Perturbative quantum consistency near black-hole horizon formation
• Bridging Worldsheet CFTs and Wormholes
• Solving information loss paradox via Euclidean path integral
• A Reverse Black Hole Information Problem
• Boundary mutual information in double holography
• Quenched free energy from spacetime D-branes
• Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble
• Hawking Radiation from Boundary Scalar Field
• The curious case of operators with spectral density increasing as $\Omega (E)\sim e^{Const.E^2}$
• Asymptotics of Weil-Petersson volumes and two-dimensional quantum gravities
• Replicas for Random Matrices
• Effective models of non-singular quantum black holes
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• Holographic Local Operator Quenches in BCFTs
• Bubbling saddles of the gravitational index
• Schwarzschild black hole states and entropies on a nice slice
• Replica Symmetry Breaking in Random Non-Hermitian Systems
• Holographic Reflected Entropy: Islands and Defect Phases
• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes
• Replicas, averaging and factorization in the IIB matrix model
• Probing sine dilaton gravity with flow central charge
• Time-independence of gravitational Rényi entropies and unitarity in quantum gravity