Holographic Dual of BCFT

Abstract

We propose a holographic dual of a conformal field theory defined on a manifold with boundaries, i.e. boundary conformal field theory (BCFT). Our new holography, which may be called AdS/BCFT, successfully calculates the boundary entropy or g-function in two dimensional BCFTs and it agrees with the finite part of the holographic entanglement entropy. Moreover, we can naturally derive a holographic g-theorem. We also analyze the holographic dual of an interval at finite temperature and show that there is a first order phase transition.

5 pages, 3 figs, a reference added, typos corrected, to be published in PRL

References in corpus (5)

• Holographic c-theorems in arbitrary dimensions
• Setting the boundary free in AdS/CFT
• Holographic models of de Sitter QFTs
• Conformal field theories in anti-de Sitter space
• String Junctions and Holographic Interfaces

Cited by in corpus (364)

• The Page curve of Hawking radiation from semiclassical geometry
• Aspects of AdS/BCFT
• Massive Islands
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• Information Transfer with a Gravitating Bath
• Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
• Holographic Local Quenches and Entanglement Density
• Entanglement islands in higher dimensions
• Information radiation in BCFT models of black holes
• Entanglement Entropy from a Holographic Viewpoint
• Inconsistency of Islands in Theories with Long-Range Gravity
• Entanglement of purification: from spin chains to holography
• Gravity Dual of Quantum Information Metric
• Bra-ket wormholes in gravitationally prepared states
• De Sitter Musings
• An Information Paradox and Its Resolution in de Sitter Holography
• Codimension two holography for wedges
• Central Charges for BCFTs and Holography
• Gravity/Ensemble Duality
• Holographic evolution of the mutual information
• Holographic Pseudo Entropy
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Holographic BCFTs and Communicating Black Holes
• Black Hole Microstate Cosmology
• BCFT entanglement entropy at large central charge and the black hole interior
• Path-Integral Complexity for Perturbed CFTs
• Entanglement entropy in holographic moving mirror and Page curve
• Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects
• Mutual information after a local quench in conformal field theory
• Time evolution of entanglement entropy from a pulse
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Towards a $C$-theorem in defect CFT
• Island in Charged Black Holes
• Renormalization Group Flows on Line Defects
• Complexity and the bulk volume, a new York time story
• Islands and Page curves in 4d from Type IIB
• Entanglement entropy in higher derivative holography
• Information Flow in Black Hole Evaporation
• On Holographic Defect Entropy
• BCFT and Islands in Two Dimensions
• Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
• Holographic Spacetimes as Quantum Circuits of Path-Integrations
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• Holographic entanglement contour, bit threads, and the entanglement tsunami
• Light-sheets and AdS/CFT
• Unitarity From a Smooth Horizon?
• Entanglement between two disjoint universes
• Riemannian and Lorentzian flow-cut theorems
• Universal features of left-right entanglement entropy
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• Probing Hawking radiation through capacity of entanglement
• General properties of holographic entanglement entropy
• Holographic Complexity for Defects Distinguishes Action from Volume
• ETH and Modular Invariance of 2D CFTs
• Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
• Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature
• Cosmology at the end of the world
• Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
• A New Proposal for Holographic BCFT
• Replica wormholes and capacity of entanglement
• Comments on $T\bar{T}$ double trace deformations and boundary conditions
• Aspects of Pseudo Entropy in Field Theories
• Defect extremal surface as the holographic counterpart of Island formula
• CFT in AdS and boundary RG flows
• Corner contributions to holographic entanglement entropy in AdS4/BCFT3
• On New Proposal for Holographic BCFT
• Bending branes for DCFT in two dimensions
• Energy Reflection and Transmission at 2D Holographic Interfaces
• Holo-ween
• Entanglement Renyi Entropies in Conformal Field Theories and Holography
• Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs
• An Exact Construction of Codimension two Holography
• Shaping contours of entanglement islands in BCFT
• Defect Extremal Surface for Reflected Entropy
• Gravity Edges Modes and Hayward Term
• Sailing past the End of the World and discovering the Island
• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• Holographic duals of Boundary CFTs
• Bath deformations, islands and holographic complexity
• Causal Structures and Nonlocality in Double Holography
• EPR Pairs, Local Projections and Quantum Teleportation in Holography
• Entanglement Entropy in a Holographic Kondo Model
• Exact half-BPS string-junction solutions in six-dimensional supergravity
• On the stability of gravity with Dirichlet walls
• Double Local Quenches in 2D CFTs and Gravitational Force
• AdS/BCFT with Brane-Localized Scalar Field
• Page Curves and Bath Deformations
• Holographic RG-flows and Boundary CFTs
• Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
• Warped Information and Entanglement Islands in AdS/WCFT
• Phases of Holographic Interfaces
• Comments on Thermalization in 2D CFT
• Complexity in the presence of a boundary
• Holographic BCFT with Dirichlet Boundary Condition
• Reflected Entropy in Double Holography
• Holographic entanglement entropy in AdS4/BCFT3 and the Willmore functional
• Anomalous Transport in Holographic Boundary Conformal Field Theories
• Brane Dynamics of Holographic BCFTs
• Time-like Entanglement Entropy in AdS/BCFT
• Entanglement Island and Page Curve in Wedge Holography
• Does Boundary Distinguish Complexities?
• Simple holographic duals to boundary CFTs
• Modular Hamiltonians for the massless Dirac field in the presence of a boundary
• Modular Hamiltonians for the massless Dirac field in the presence of a defect
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• Holographic measurement and bulk teleportation
• AdS/BCFT and Island for curvature-squared gravity
• Path-Integral Optimization from Hartle-Hawking Wave Function
• On the Page curve under final state projection
• Holographic impurities and Kondo effect
• Monodromy Defects in Free Field Theories
• Looking for (and not finding) a bulk brane
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Structure of Holographic BCFT Correlators from Geodesics
• BCFT in a Black Hole Background: An Analytical Holographic Model
• The entropic $g$-theorem in general spacetime dimension
• Massless Entanglement Islands in Cone Holography
• SL(2,Z) Action on AdS/BCFT and Hall Conductivities
• The Spectrum of Boundary States in Symmetric Orbifolds
• Universality for Shape Dependence of Casimir Effects from Weyl Anomaly
• Islands with Gravitating Baths: Towards ER = EPR
• Quantum Extremal Surfaces and the Holographic Entropy Cone
• Holographic Path-Integral Optimization
• Gravity Dual of Connes Cocycle Flow
• Homology Conditions for RT Surfaces in Double Holography
• Holographic BCFT with a Defect on the End-of-the-World Brane
• Zoo of holographic moving mirrors
• Page Curve of Effective Hawking Radiation
• Codimension-n Holography for Cones
• Wedge Holography in Flat Space and Celestial Holography
• Spectrum of End of the World Branes in Holographic BCFTs
• The PEE aspects of entanglement islands from bit threads
• Quantum Kerr-de Sitter black holes in three dimensions
• Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
• Free energy and defect $C$-theorem in free scalar theory
• Islands and mixed states in closed universes
• Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
• Geometries with mismatched branes
• Information transfer with a twist
• The Markov gap in the presence of islands
• A defect in holographic interpretations of tensor networks
• Janus Black Holes
• Scale invariance vs conformal invariance
• Island on codimension-two branes in AdS/dCFT
• The holographic dual of a Hawking pair has a wormhole
• JT Gravity from Partial Reduction and Defect Extremal Surface
• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• Barrier from chaos: operator entanglement dynamics of the reduced density matrix
• On the AdS/BCFT Approach to Quantum Hall Systems
• Entanglement Phase Transition in Holographic Pseudo Entropy
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• Energy Transport for Thick Holographic Branes
• AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity
• Exploring the Membrane Theory of Entanglement Dynamics
• Holographic measurement and quantum teleportation in the SYK thermofield double
• Spacetime as a quantum circuit
• Relating bulk to boundary entanglement
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• Boundary effects in entanglement entropy
• Boundary CFT from Holography
• Mapping out the internal space in AdS/BCFT with Wilson loops
• On the Dynamics in the AdS/BCFT Correspondence
• Fix the dual geometries of $T\bar{T}$ deformed CFT${}_2$ and highly excited states of CFT${}_2$
• Defect extremal surfaces for entanglement negativity
• Ownerless island and partial entanglement entropy in island phases
• Looking at Shadows of Entanglement Wedges
• Universal relations for holographic interfaces
• Island formula in Planck brane
• Mutual information of subsystems and the Page curve for Schwarzschild de-Sitter black hole
• Constraining braneworlds with entanglement entropy
• Finding $Ad{S}^5\times S^5$ in 2+1 dimensional SCFT physics
• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• Universal Dynamics of Heavy Operators in Boundary CFT${}_2$
• Volume complexity for Janus ${\mathrm{AdS}}_3$ geometries
• Is boundary conformal in CFT?
• A note on entanglement entropy and regularization in holographic interface theories
• Partial Reduction and Cosmology at Defect Brane
• Gluing AdS/CFT
• Building Tensor Networks for Holographic States
• Quantum Entanglement on Boundaries
• AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
• Free energy and boundary anomalies on ${\mathbb{S}}^a\times {\mathbb{H}}^b$ spaces
• The Dictionary for Double Holography and Graviton Masses in d Dimensions
• A note on the bulk interpretation of the Quantum Extremal Surface formula
• Ultrafast Entanglement Dynamics in Monitored Quantum Circuits
• Quantum tasks require islands on the brane
• Casimir Effect, Weyl Anomaly and Displacement Operator in Boundary Conformal Field Theory
• Holographic boundary states and dimensionally-reduced braneworld spacetimes
• Holographic calculation of entanglement entropy in the presence of boundaries
• Regularizations of Action-Complexity for a Pure BTZ Black Hole Microstate
• Free energy and defect $C$-theorem in free fermion
• Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
• Action complexity in the presence of defects and boundaries
• Path Integral Complexity and Kasner singularities
• Multi-faced Black Janus and Entanglement
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Inhomogeneous quenches as state preparation in two-dimensional conformal field theories
• Boundary Kinematic Space
• Holographic measurement in CFT thermofield doubles
• AdS/BCFT correspondence and Horndeski gravity in the presence of gauge fields: holographic paramagnetism/ferromagnetism phase transition
• Bottom-up holographic models for cosmology
• Complexity in a moving mirror model
• Interacting conformal scalar in a wedge
• Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT
• Boundary-corner entanglement for free bosons
• End of the World Brane meets $T\bar{T}$
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• Effective Action, Spectrum and First Law of Wedge Holography
• Boundary entropy under ambient RG flow in the AdS/BCFT model
• Entanglement Island versus Massless Gravity
• Massless Lifshitz Field Theory for Arbitrary $z$
• Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds
• Vacuum densities for a brane intersecting the AdS boundary
• Holographic CFTs on maximally symmetric spaces: correlators, integral transforms and applications
• Reflected entropy in BCFTs on a black hole background
• Photon sphere and phase transition of $d$-dimensional ($d\ge 5$) charged Gauss-Bonnet AdS black holes
• Pseudo entropy under joining local quenches
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Q-curvature and Path Integral Complexity
• Entanglement of Purification and Projective Measurement in CFT
• Islands and dynamics at the interface
• Entropy of Radiation with Dynamical Gravity
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• Double brane holographic model dual to 2d ICFTs
• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Cobordism Conjecture in AdS
• Weyl Anomaly induced Fermi Condensation and Holography
• Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Semiclassical Gravity from Averaged Boundaries in two-dimensional BCFTs
• Beyond the unitarity bound in AdS/CFT_(A)dS
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• Subregion Entropy for the Doubly Holographic Global Black String
• Stabilizer Rényi Entropy and Conformal Field Theory
• Entanglement Dynamics of the Non-Unitary Holographic Channel
• Radiation, entanglement and islands from a boundary local quench
• First order formalism for the holographic duals of defect CFTs
• On shape dependence of holographic entanglement entropy in AdS4/CFT3 with Lifshitz scaling and hyperscaling violation
• Holographic QFTs on AdS${}_d$, wormholes and holographic interfaces
• Holographic Dual of Crosscap Conformal Field Theory
• Giant graviton expansions and ETW brane
• Holographic complexity: braneworld gravity versus the Lloyd bound
• A coarse-grained generalized second law for holographic conformal field theories
• Quantum Backreaction on Chronology Horizons
• Magnetized AdS/BCFT Correspondence in Horndeski Gravity
• Holographic Weak Measurement
• Holographic Entanglement Entropy in Boundary Quantum Field Theory
• Negative energy enhancement in layered holographic conformal field theories
• Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
• Chern-Simons Gravity Dual of BCFT
• Spacetime positive mass theorems for initial data sets with noncompact boundary
• Current Reflection and Transmission at Conformal Defects: Applying BCFT to Transport Process
• Semiclassical Einstein equations from holography and boundary dynamics
• Subsystem complexity after a local quantum quench
• One-Loop Correction to the AdS/BCFT Partition Function in the Three Dimensional Pure Gravity
• Black holes Entangled by Radiation
• Holographic Reflected Entropy and Islands in Interface CFTs
• Entanglement entropy from the holographic stress tensor
• Evaporating Black Holes Coupled to a Thermal Bath
• Holographic thermal entropy from geodesic bit threads
• AdS/BCFT Correspondence for Higher Curvature Gravity: An Example
• Casimir Effect and Holographic Dual of Wedges
• Exploring causality in braneworld/cutoff holography via holographic scattering
• Boundary Holographic Witten Diagrams
• Geons and the Quantum Information Metric
• Demystifying the Holographic Mystique
• Holographic Description of Finite Size Effects in Strongly Coupled Superconductors
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Holographic Complexity for disentangled states
• Quantum vacuum effects in braneworlds on AdS bulk
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Non-Thermal Behavior in Conformal Boundary States
• Delicate windows into evaporating black holes
• Orbifold ETW brane and half-indices
• Wormholes with Ends of the World
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• Geometric Josephson junction
• Born-Infeld Type Extension of (Non-)Critical Gravity
• Entanglement structures from modified IR geometry
• Cosmologies inside hyperbolic black holes
• Note on anomalous currents for a free theory
• Holographic Anomalous Chiral Current Near a Boundary
• Deriving the non-perturbative gravitational dual of quantum Liouville theory from BCFT operator algebra
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Binary AdS black holes coupled to a bath in Type IIB
• Decoding the Entanglement Structure of Monitored Quantum Circuits
• Holographic duality for Ising CFT with boundary
• The entanglement entropy of typical pure states and replica wormholes
• Holographic moving mirrors
• Entanglement Negativity and Defect Extremal Surface
• Interpolating between multi-boundary wormholes and single-boundary geometries in holography
• Cone Holography with Neumann Boundary Conditions and Brane-localized Gauge Fields
• Entanglement inside a black hole before the Page time
• Brane dynamics from the first law of entanglement
• Nambu-Goto equation from three-dimensional gravity
• Holographic Boundary Conformal Field Theory within Horndeski Gravity
• Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Negative R$\acute{\text{e}}$nyi entropy and Brane intersection
• Anti--de Sitter/ boundary conformal field theory correspondence in the non-relativistic limit
• Quantum Local Quench, AdS/BCFT and Yo-Yo String
• More on Boundary Holographic Witten Diagrams
• Quantum Chaos, Thermodynamics and Black Hole Microstates in the mass deformed SYK model
• Information metric on the boundary
• Non-extremal Island in de Sitter Gravity
• Boundary and defect criticality in topological insulators and superconductors
• Vacuum densities and the Casimir forces for branes orthogonal to the AdS boundary
• Entanglement Entropy Inequalities in BCFT by Holography
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Fixing three dimensional geometries from entanglement entropies of CFT${}_2$
• Bound of Casimir Effect by Holography
• Properties of gapped systems in AdS/BCFT
• Two Splits, Three Ways: Advances in Double Splitting Quenches
• Comparing top-down and bottom-up holographic defects and boundaries
• Holographic CFTs on $Ad{S}_d\times S^n$ and conformal defects
• Holographic dual of defect CFT with corner contributions
• Holographic BCFT Spectra from Brane Mergers
• Gravity Dual of Networks
• Open-closed 3d gravity as a random ensemble
• Holography for BCFTs with Multiple Boundaries: Multi-Splitting Quenches
• Holographic multipartite entanglement structures in IR modified geometries
• Does connected wedge imply distillable entanglement?
• Subsystem Complexity and Measurements in Holography
• Holographic entanglement entropy of deSitter braneworld with Lovelock
• Entanglement wedge cross section inequalities in AdS/BCFT
• Bootstrapping Boundaries and Branes
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT
• Revisiting holographic codes with fractal-like boundary erasures
• Renormalization of the Einstein-Hilbert action
• Stability and boundedness in AdS/CFT with double trace deformations II: Vector Fields
• Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
• Boundary terms, branes and AdS/BCFT in first-order gravity
• Boundary Conformal Field Theory at Large Charge
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
• D-branes in ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ at $k=1$ and their holographic duals
• Holographic Anomalous Current at a Finite Temperature
• General Junction Condition and Casimir Effect for (1+1)-Dimensional Scalar Network CFT
• Reconstructing the boundary of AdS from an infrared defect
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• At the End of the World: Local Dynamical Cobordism
• Time-independence of gravitational Rényi entropies and unitarity in quantum gravity
• On holographic braneworld cosmology
• Boundary conformal field theory, holography and bulk locality
• Double holography in string theory
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff
• Weyl Anomaly Coefficients of Holographic Defect CFTs at Weak and Strong Coupling
• Spacetime Bananas with EOW Branes and Spins
• Holographic Reflected Entropy: Islands and Defect Phases
• Boundary anomalous dimensions from BCFT: O($N$)-symmetric ${\varphi }^{2n}$ theories with a boundary and higher-derivative generalizations
• Holographic Local Operator Quenches in BCFTs
• Constraints on cosmologies inside black holes
• Classical string correspondence in $2$ and $3$ spacetime dimensions
• QNEC-Preserving IR Regulators for the Entropy
• Coarse-Grained Fixed-Point Tensor Networks and Holographic Reflected Entropy in 3D Gravity
• Quotient-AdS/BCFT: Holographic Boundary CFT${}_2$ on AdS${}_3$ Quotients
• Scale without Conformal Invariance in bottom-up Holography
• Random Matrices, Boundaries and Branes
• A Defect in AdS3/CFT2 Duality
• Boundary mutual information in double holography
• Bubble quenches in the AdS/BCFT model