The Holographic Bound in Anti-de Sitter Space

Abstract

The correspondence between string theory in Anti-de Sitter space and super Yang Mills theory is an example of the Holographic principle according to which a quantum theory with gravity must be describable by a boundary theory. However, arguments given so far are incomplete because, while the bulk theory has been related to a boundary theory, the holographic bound saying that the boundary theory has only one bit of information per Planck area has not been justified. We show here that this bound is the physical interpretation of one of the unusual aspects of the correspondence between Anti-de Sitter space and the boundary conformal field theory, which is that infrared effects in the bulk theory are reflected as ultraviolet effects in the boundary theory.

arXiv comment10 pages, phyzzx

References in corpus (2)

• The World as a Hologram
• Entropy and Temperature of Black 3-Branes

Cited by in corpus (364)

• Large N Field Theories, String Theory and Gravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• The holographic principle
• Lecture Notes on Holographic Renormalization
• Towards a derivation of holographic entanglement entropy
• Fast Scramblers
• DBI in the Sky
• Bulk Locality and Quantum Error Correction in AdS/CFT
• On the Holographic Renormalization Group
• Holographic c-theorems in arbitrary dimensions
• Holographic duality with a view toward many-body physics
• Emergent Gravity and the Dark Universe
• Holographic representation of local bulk operators
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• Wilson Loops and Minimal Surfaces
• The Analytic Bootstrap and AdS Superhorizon Locality
• AdS/CFT and gravity
• Holographic and Wilsonian Renormalization Groups
• Holography and Compactification
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Holography in General Space-times
• UV/IR Relations in AdS Dynamics
• Linear Dilatons, NS5-branes and Holography
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Aspects of holography for theories with hyperscaling violation
• A Quantum Focussing Conjecture
• The domain-wall/QFT correspondence
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Wilson loops in heavy ion collisions and their calculation in AdS/CFT
• The Trouble with de Sitter Space
• The Coulomb Branch of Gauge Theory from Rotating Branes
• Spacetime and the Holographic Renormalization Group
• Holographic Particle Detection
• Cosmology and the S-matrix
• Holography and Cosmology
• DeSitter entropy, quantum entanglement and ADS/CFT
• AdS${}_2$ holography and the SYK model
• A remark on the AdS/CFT correspondence and the renormalization group flow
• RG-Flow, Gravity and the Cosmological Constant
• The Holographic Principle for General Backgrounds
• Surface/State Correspondence as a Generalized Holography
• Arithmetic and Attractors
• Local bulk operators in AdS/CFT: A holographic description of the black hole interior
• The Holographic Renormalization Group
• Black Holes, Shock Waves, and Causality in the AdS/CFT Correspondence
• Entwinement and the emergence of spacetime
• Complementarity of the Maldacena and Randall-Sundrum Pictures
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Black holes with topologically nontrivial AdS asymptotics
• The dS/dS Correspondence
• Holography in the Flat Space Limit
• Jet evolution in the N=4 SYM plasma at strong coupling
• Deconstructing de Sitter
• Bulk and Boundary Dynamics in BTZ Black Holes
• A non-renormalization theorem for conformal anomalies
• A holographic view on physics out of equilibrium
• Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
• Bekenstein bounds in de Sitter and flat space
• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Negative Energy, Superluminosity and Holography
• Finite Temperature Large N Gauge Theory with Quarks in an External Magnetic Field
• Partition functions and double-trace deformations in AdS/CFT
• A Holographic Framework for Eternal Inflation
• S-Matrices from AdS Spacetime
• Complementarity Is Not Enough
• On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on AdS_5 * S^5
• TASI lectures on the Holographic Principle
• Quarks in an External Electric Field in Finite Temperature Large N Gauge Theory
• Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
• Strongly Coupled Gauge Theories: High and Low Temperature Behavior of Non-local Observables
• Effective theories and black hole production in warped compactifications
• Baryons and Flux Tubes in Confining Gauge Theories from Brane Actions
• Holography of Radiation and Jet Quenching
• Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories
• A Critique of Pure String Theory: Heterodox Opinions of Diverse Dimensions
• Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma
• Holographic Entanglement Entropy in Insulator/Superconductor Transition
• Quantum Information and Gravity Cutoff in Theories with Species
• TASI/PiTP/ISS Lectures on Moduli and Microphysics
• Exotic Scalar States in the AdS/CFT Correspondence
• Nonperturbative Instability of AdS_5 x S^5/Z_k
• On the Quantum Resolution of Cosmological Singularities using AdS/CFT
• Quantum Information in Holographic Duality
• Light-sheets and AdS/CFT
• Tall tales from de Sitter space I: Renormalization group flows
• Null Geodesics, Local CFT Operators and AdS/CFT for Subregions
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Flux Backgrounds in 2D String Theory
• CFT dual of the AdS Dirichlet problem: Fluid/Gravity on cut-off surfaces
• Self-Completeness of Einstein Gravity
• Holographic Principle and String Cosmology
• Holography and Entanglement in Flat Spacetime
• Holographic Schwinger effect in de Sitter space
• Exciting AdS Orbifolds
• TASI 2003 Lectures on AdS/CFT
• Holographic Domains of Anti-de Sitter Space
• Membrane theory of entanglement dynamics from holography
• Falling Toward Charged Black Holes
• Observational Signatures of Quantum Gravity in Interferometers
• Shockwaves and deep inelastic scattering within the gauge/gravity duality
• More on correlators and contact terms in {\cal N}=4 SYM at order g^4
• Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity
• The Information Theoretic Interpretation of the Length of a Curve
• Conformal Phase Transitions at Weak and Strong Coupling
• Complementarity in the Multiverse
• Black Holes and the Super Yang-Mills diagram. II
• Partially Localized Intersecting BPS Branes
• Wilson Loops as Precursors
• Quantum Global Structure of de Sitter Space
• Robustness and Infrared Sensitivity of Various Observables in the Application of AdS/CFT to Heavy Ion Collisions
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
• Census Taking in the Hat: FRW/CFT Duality
• Stringy World Branes and Exponential Hierarchies
• Coarse Grained Quantum Dynamics
• Generalized Second Law for Cosmology
• Branes, Calibrations and Supergravity
• Holographic Lessons for Quark Dynamics
• Aspects of the UV/IR correspondence : energy broadening and string fluctuations
• Higher-Derivative Gravity and the AdS/CFT Correspondence
• Reconstructing AdS/CFT
• Pulling the Boundary into the Bulk
• The Free Energy of N=4 Super-Yang-Mills and the AdS/CFT Correspondence
• Holographic EPR Pairs, Wormholes and Radiation
• Holographic spacetime, black holes and quantum error correcting codes: A review
• Holographic View on Quantum Correlations and Mutual Information between Disjoint Blocks of a Quantum Critical System
• From Fixed Points to the Fifth Dimension
• Crunches, Hats, and a Conjecture
• Holographic Normal Ordering and Multi-particle States in the AdS/CFT Correspondence
• Matrix Theory, AdS/CFT and Higgs-Coulomb Equivalence
• Bounds for State Degeneracies in 2D Conformal Field Theory
• Precursors see inside black holes
• Spread of entanglement for small subsystems in holographic CFTs
• Large-density field theory, viscosity, and "$2k_F$" singularities from string duals
• Holographic Representation of Higher Spin Gauge Fields
• Polyakov formulas for GJMS operators from AdS/CFT
• String corrections to four point functions in the AdS/CFT correspondence
• Holography and Noncommutative Yang-Mills
• Quantitative approaches to information recovery from black holes
• Non-relativistic CFT and Semi-classical Strings
• Radiation by a heavy quark in N=4 SYM at strong coupling
• Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk Metric and Possible Resolution of Singularity
• Second-Order Hydrodynamics and Universality in Non-Conformal Holographic Fluids
• AdS black holes, the bulk-boundary dictionary, and smearing functions
• A Tail of a Quark in N=4 SYM
• Linear response of entanglement entropy from holography
• Large N Expansion From Fuzzy AdS_2
• FRW solutions and holography from uplifted AdS/CFT
• D-Instanton in AdS_5 and Instanton in SYM_4
• Dynamical emergence of extra dimensions and warped geometries
• Chaos and entanglement spreading in a non-commutative gauge theory
• Gauge Symmetry and Localized Gravity in M Theory
• Quantum Critical Dynamics from Black Holes
• Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma
• Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD
• Holographic multiverse and conformal invariance
• AdS_5 and the 4D Cosmological Constant
• Finite-cutoff JT gravity and self-avoiding loops
• The Fefferman-Graham Ambiguity and AdS Black Holes
• dS-Holographic C-Functions with a Topological, Dilatonic Twist
• TASI Lectures on the Emergence of the Bulk in AdS/CFT
• Geometric origin of coincidences and hierarchies in the landscape
• Boundary definition of a multiverse measure
• Holographic Entropy Production
• Non-local observables at finite temperature in AdS/CFT
• de Sitter entropy from conformal field theory
• Modular discretization of the AdS2/CFT1 Holography
• Holographic phase space: $c$-functions and black holes as renormalization group flows
• Gravitational collisions and the quark-gluon plasma
• Consistency Conditions for Holographic Duality
• D3-brane Holography
• Schwinger-Dyson = Wheeler-DeWitt: gauge theory observables as bulk operators
• Super Weyl Anomalies in the AdS/CFT Correspondence
• Black holes and branes in string theory
• Butterflies on the Stretched Horizon
• Radiation and a dynamical UV/IR connection in AdS/CFT
• Curved space resolution of singularity of fractional D3-branes on conifold
• Black Hole Entropy in Induced Gravity: Reduction to 2D Quantum Field Theory on the Horizon
• Toward a Theory of Precursors
• D-Sitter Space: Causal Structure, Thermodynamics, and Entropy
• Holographic Representation of Local Operators In De Sitter Space
• Holographic dual of collimated radiation
• Renormalization Group Flows from Holography--Supersymmetry and a c-Theorem
• Statistical physics of black holes as quantum-mechanical systems
• Holographic multiverse and the measure problem
• Finding Critical States of Enhanced Memory Capacity in Attractive Cold Bosons
• Black Holes and Five-brane Thermodynamics
• Holography at work for nuclear and hadron physics
• Holography Principle and Topology Change in String Theory
• Worldvolume Uncertainty Relations for D-Branes
• Computational Complexity and Black Hole Horizons
• Mixed RG Flows and Hydrodynamics at Finite Holographic Screen
• Extremal black holes, Holography & Coarse graining
• QCD${}_4$ Glueball Masses from AdS-6 Black Hole Description
• Collective diffusion and quantum chaos in holography
• Saturating the holographic entropy bound
• The Census Taker's Hat
• Interpretation of the Cosmological Constant Problem within the Framework of Generalized Uncertainty Principle
• Determining the Minimal Length Scale of the Generalized Uncertainty Principle from the Entropy-Area Relationship
• Charged Rotating AdS Black Holes with Chern-Simons coupling
• Twenty Years of Debate with Stephen
• Comments on Noncommutative Open String Theory: V-duality and Holography
• Braneworld Cosmology and Holography
• Target space entanglement in Matrix Models
• How to make the gravitational action on non-compact space finite
• The Dictionary for Double Holography and Graviton Masses in d Dimensions
• No Line on the Horizon: On Uniform Acceleration and Gluonic Fields at Strong Coupling
• Large N gauge theories and AdS/CFT correspondence
• Entropy-Area Relations in Field Theory
• Probing Quantum Geometry at LHC
• Twist Two Operator Approach for Even Spin Glueball Masses and Pomeron Regge Trajectory from the Hardwall Model
• D3 Brane(s) in AdS_5 x S^5 and N =4,2,1 SYM
• Non-holomorphic Corrections from Threebranes in F Theory
• The AdS3 central charge in string theory
• Holography, Singularities on Orbifolds and 4D N=2 SQCD
• Universal near-horizon conformal structure and black hole entropy
• Bulk geometry from entanglement entropy of CFT
• AdS and dS Entropy from String Junctions
• Local bulk operators in AdS/CFT and the fate of the BTZ singularity
• Localized states in global AdS
• Holographic RG flow of thermo-electric transports with momentum dissipation
• Inflation and Holography in String Theory
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• Looking for event horizons using UV/IR relations
• Inherent Holography In Fuzzy Spaces and An N-tropic Approach To The Cosmological Constant Problem
• Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds
• A Note on Holographic Renormalization of Probe D-Branes
• Supersymmetry at Large Distance Scales
• Intrinsic Thickness of QCD Flux-Tubes
• Into the Bulk: A Covariant Approach
• AdS-Flows and Weyl Gravity
• Decoupling of High Dimension Operators from the Low Energy Sector in Holographic Models
• Lattice Gauge Theories Have Gravitational Duals
• Field spectrum and degrees of freedom in AdS/CFT correspondence and Randall Sundrum model
• On Holographic Entanglement Density
• The Confining String from the Soft Dilaton Theorem
• Relativistic Beaming in AdS/CFT
• AdS/CFT Correspondence and Quotient Space Geometry
• The Jarzynski Identity and the AdS/CFT Duality
• The M(atrix) model/adS_2 correspondence
• Species and Strings
• Unitarity and Page curve for evaporation of 2D AdS black holes
• Clearing the Throat: Irrelevant Operators and Finite Temperature in Large n Gauge Theory
• The quantum cat map on the modular discretization of extremal black hole horizons
• A particle-like description of Planckian black holes
• Non-Spherical Horizons, I
• Yang's Quantized Space-time Algebra and Holographic Hypothesis
• Holographic description of D3-branes in flat space
• Conifold Holography
• dS/CFT Correspondence in Two Dimensions
• One-dimensional Quantum Gravity and the Schwarzian theory
• On Supergravity Solutions of Branes in Melvin Universes
• Warped Compactifications and AdS/CFT
• Generalized Conformal Quantum Mechanics of D0-brane
• The arithmetic geometry of AdS${}_2$ and its continuum limit
• Emergent Gravity in a Holographic Universe
• Quantum error correction and entanglement spectrum in tensor networks
• Casimir Energy of 5D Warped System and Sphere Lattice Regularization
• Semi-classical approach to quantum black holes
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• ${\varphi }^4$-Model and Holography in Four Dimensions
• Rudiments of Holography
• Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• Recent Developments in String Theory
• Probing the Strong Coupling Limit of Large N SYM on Curved Backgrounds
• Heavy Quark Potential from Gauge/Gravity Duality: A Large D Analysis
• Topological Holography
• Exact Renormalization Group and Loop Equation
• Deconstruction and Holography
• Strong Coupling Holography
• Entropy Bounds, Holographic Principle and Uncertainty Relation
• Time-dependent quantum correlations in two-dimensional expanding spacetime
• $\mathcal{M}$cTEQ ($\mathcal{M}$ $\mathbf{c}$hiral perturbation theory-compatible deconfinement $\mathbf{T}$emperature and $\mathbf{E}$ntanglement Entropy up to terms $\mathbf{Q}$uartic in curvature) and FM ($\mathbf{F}$lavor $\mathbf{M}$emory)
• Born-Infeld Action in String Theory
• Holography based on noncommutative geometry and the AdS/CFT correspondence
• On Holographic Weyl Anomaly
• Penrose limit and DLCQ of string theory
• A Note on AdS/SYM Correspondence on the Coulomb Branch
• Revisiting AdS/CFT at a finite radial cut-off
• Instanton dynamics in finite temperature QCD via holography
• Bad News on the Brane
• Entanglement Entropy and Duality
• Holography and entropy bounds in the plane wave matrix model
• Higher-spin realization of a dS static patch/cut-off CFT correspondence
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• Losing the IR: a Holographic Framework for Area Theorems
• Holographic Counterterm Actions and Anomalies for Asymptotic AdS and Flat Spaces
• RG Flows Towards IR Isolated Fixed Points: Some Type 0 Samples
• Gravity from a Modified Commutator
• Holographic Thermodynamics and Transport of Flavor Fields
• Holographic RG Flow and Sound Modes of sQGP
• Testing cosmological supersymmetry breaking
• Inverted c-functions in thermal states
• de Sitter Black Holes, Schottky Peaks, and Continuous Heat Engines
• From Yukawa to M-Theory
• A note on the Coulomb branch of susy Yang-Mills
• Brick Walls for Black Holes in AdS/CFT
• Renormalization Group Approach to Casimir Effect and the Attractive and Repulsive Forces in Substance
• Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
• A Variational Principle for Radial Flows in Holographic theories
• A Proposal on Some Microscopic Aspects of the AdS/CFT Duality
• Aether, Dark Energy, and String Compactifications
• New Local Duals in Eternal Inflation
• Gauge Dependence in the AdS/CFT Correspondence
• Boundary Causality Violating Metrics in Holography
• Linear responses of D0-branes via gauge/gravity correspondence
• Exact renormalization flow and domain walls from holography
• Entanglement Entropy and Spatial Geometry
• Holographic Weyl Entropy Bounds
• AdS/CFT Correspondence and string/gauge duality
• Black holes and the phases of brane thermodynamics
• The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation
• Black holes and thermodynamics of non-gravitational theories
• Worldvolume Dynamics of Branes
• Improved semiclassical model for real time evaporation of Matrix black holes
• Loop Equation in D=4, N=4 SYM and String Field Equation on AdS_5 \times S^5
• Acceleration and Energy Loss in N=4 SYM
• Where Does Black Hole Entropy Lie? Some Remarks on Area-Entropy Law, Holographic Principle and Noncommutative Space-Time
• Space-time filling branes in non critical (super) string theories
• Quantum correlation in quark-gluon medium
• Cosmological singleton gravity theory and dS/LCFT correspondence
• Bulk Local Operators, Conformal Descendants and Radial Quantization
• Cut-off QFT and black hole entropy
• Asymptotically Flat Holography and Strings on the Horizon
• A note on size-momentum correspondence and chaos
• Spacetime Dependent Lagrangians and the Barriola-Vilenkin Monopole Mass
• Investigating the Stability of a Nonsupersymmetric Landscape
• A new way of calculating the effective potential for a light radion
• Large N field theories from superstrings
• Holography for a small world
• 3-dimensional holographic trace anomaly from AdS/CFT correspondence
• Modification of phase structure of black D6 branes in a canonical ensemble and its origin
• The Supercharges of Eleven-dimensional Supergraviton on Gravitational Wave Background
• Chern-Simons Gravity, Wilson Lines and Large N Dual Gauge Theories
• On the Magnetic Current Density in the Maxwell Equations Based on the Noether Theorem
• Introduction to M Theory
• Comment on Field Redefinitions in the AdS/CFT Correspondence
• A domain wall bound on anti-de Sitter vacua
• Compressible Fluids in the Membrane Paradigm: non-AdS Fluid/Gravity correspondences
• Kinematical Holographic Relation in Yang's Quantized Space-Time and Area-Entropy Relation in $D_0$ Brane Gas System
• Bianchi type-III THDE quintessence model with hybrid expansion law
• Holographic Stress Tensor for Kerr-AdS Black Holes and Local Failure on IR-UV Connection
• Spontaneous Lorentz symmetry violation from infrared gravity
• The Static Gauge Potential with a Cutoff
• Kinematics of Horizon and Singularity and IR/UV Mixing in AdS
• The Holography Hypothesis in Pre-Big-Bang Cosmology with String Sources
• One-loop divergences in 7D Einstein and 6D Conformal Gravities
• Vacuum Expectation Value of the Higgs Field and Dyon Charge Quantisation from Spacetime Dependent Lagrangians
• Nonabelian Probes In Holography
• AdS space compactification and holographic mapping in the AdS/CFT correspondence
• Renormalization Group Flow in Algebraic Holography
• Comments on Large N Matrix Model
• Lattice AdS Geometry and Continuum Limit
• Free Massless Particles, Two Time Physics and Newtonian Gravitodynamics
• The AdS/CFT partition function, AdS as a lift of a CFT, and holographic RG flow from conformal deformations
• Holographic trace anomaly at finite temperature
• Threebranes in F-theory
• The Black Hole Information Puzzle and Evidence for a Cosmological Constant
• Spacetime Dependent Lagrangians and the Vacuum Expectation Value of the Higgs field
• Entanglement entropy of a superflow
• Extended Objects from Warped Compactifications of M Theory