AdS Dual of the Critical O(N) Vector Model

Abstract

We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in $Ad{S}_{d+1}$ and large $N$ conformal theories in $d$ dimensions containing $N$-component vector fields. In particular, we propose that the singlet sector of the well-known critical 3-d O(N) model with the $({\varphi }^a{\varphi }^a{)}^2$ interaction is dual, in the large $N$ limit, to the minimal bosonic theory in $Ad{S}_4$ containing massless gauge fields of even spin.

arXiv comment13 pages, LaTeX; v4: more references added, to appear in Physics Letters B

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• Disordered vector models: from higher spins to incipient strings
• ABJ Quadrality
• Towards causal patch physics in dS/CFT
• How General Is Holography?
• Massive and massless higher spinning particles in odd dimensions
• Higher Spin Holography, RG, and the Light Cone
• An action for higher spin gauge theory in four dimensions
• The structure of the trace anomaly of higher spin conformal currents in the bulk of $Ad{S}_4$
• Higher Spin Gravities and Presymplectic AKSZ Models
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Black holes and thermodynamics - The first half century
• The bi-conical vector model at $1/N$
• Charges in nonlinear higher-spin theory
• Field Theory of Primaries in W_N Minimal Models
• A String Model for AdS Gravity and Higher Spins
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity
• Perturbative analysis in higher-spin theories
• Correlation functions in $\mathcal{N}=2$ Supersymmetric vector matter Chern-Simons theory
• Matter Chern Simons Theories in a Background Magnetic Field
• Rainbow Vacua of Colored Higher Spin Gravity in Three Dimensions
• Structure constants of operators on the Wilson loop from integrability
• Vectorial AdS_5/CFT_4 duality for spin-one boundary theory
• Higher Spin vs. Renormalization Group Equations
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• The holographic dual of the Penrose transform
• Line of Fixed Points in Gross-Neveu Theories
• Probing emergent geometry through phase transitions in free vector and matrix models
• Planar solutions of higher-spin theory I: free field level
• Higher Spin de Sitter Hilbert Space
• Anyonic correlation functions in Chern-Simons matter theories
• Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Chaos in Three-dimensional Higher Spin Gravity
• Lifting a Conformal Field Theory from D-Dimensional Flat Space to (D+1)-Dimensional Ads Space
• Symplectic critical models in $6+\epsilon$ dimensions
• Squashed Holography with Scalar Condensates
• Holographic Chern-Simons Theories
• Matrix Entanglement
• The holographic spectral function in non-equilibrium states
• Boundary correlators in WZW model on AdS${}_2$
• Higher-spin gravity as a theory on a fixed (anti) de Sitter background
• Thermofield Duality for Higher Spin Rindler Gravity
• Antipodally symmetric gauge fields and higher-spin gravity in de Sitter space
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
• Higher spin fluctuations on spinless 4D BTZ black hole
• On AdS/CFT without Massless Gravitons
• On twist-two operators in N=4 SYM
• Bilinear Fronsdal currents in the $Ad{S}_4$ higher-spin theory
• On Classical Solutions of 4d Supersymmetric Higher Spin Theory
• Higher Spin Fronsdal Equations from the Exact Renormalization Group
• Strong Coupling Universality at Large N for Pure CFT Thermodynamics in 2+1 dimensions
• Singleton deformation of higher-spin theory and the phase structure of the three-dimensional O(N) vector model
• CFT4 as SO(4,2)-invariant TFT2
• Lectures on Higher Spin Holography
• Toward Higher Spin dS3/CFT2
• Twisted sectors from plane partitions
• Machine Learning Etudes in Conformal Field Theories
• Anomalous dimensions of higher spin currents in large N CFTs
• A Sum Rule for Boundary Contributions to the Trace Anomaly
• Three-dimensional de Sitter holography and bulk correlators at late time
• Large N bilocals at the infrared fixed point of the three dimensional O(N) invariant vector theory with a quartic interaction
• One Loop Tests of Supersymmetric Higher Spin $Ad{S}_4/CF{T}_3$
• Higher-spin gauge theories in three spacetime dimensions
• Higher Spin Theory - Part I
• Scalar Multiplet Recombination at Large N and Holography
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• A Note on Vectorial AdS${}_5$/CFT${}_4$ Duality for Spin-$j$ Boundary Theory
• Unfolded Equations for Current Interactions of 4d Massless Fields as a Free System in Mixed Dimensions
• A CFT Distance Conjecture
• Higgs phenomenon for higher spin fields on AdS_3
• Critical Fermions with Spontaneously Broken Scale Symmetry
• Homotopy Algebras in Higher Spin Theory
• Conformal field theories with infinitely many conservation laws
• Exotic RG Flow of Entanglement Entropy
• On the dynamical generation of the Maxwell term and scale invariance
• Finite temperature CFT results for all couplings: O(N) model in 2+1 dimensions
• An axial gauge ansatz for higher spin theories
• A model of quantum gravity with emergent spacetime
• Higher-spin gravity's "string": new gauge and proof of holographic duality for the linearized Didenko-Vasiliev solution
• AdS/CFT in Fractional Dimension and Higher Spin Gravity at One Loop
• Higher spin JT gravity and a matrix model dual
• Even spin $\mathcal{N}=4$ holography
• MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch
• Free quantum fields in 4D and Calabi-Yau spaces
• AdS Taub-Nut Space and the O(N) Vector Model on a Squashed 3-Sphere
• Broken current anomalous dimensions, conformal manifolds and RG flows
• 3d conformal fields with manifest $sl(2,\mathbb{C})$
• Tidal excitation as mixing in thermal CFT
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Holography beyond conformal invariance and AdS isometry?
• Flatspace Chiral Supergravity
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• What does a quantum black hole look like?
• Heterotic non-linear sigma models with anti-de Sitter target spaces
• On the fermionic Grande Bouffe: more on higher spin symmetry breaking in AdS/CFT
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
• Polyakov's confinement mechanism for generalized Maxwell theory
• $QC{D}_3$ Dualities and the F-Theorem
• The Holographic Dual of a SUSY Vector Model and Tensionless Open Strings
• Remarks on Resonant Scalars in the AdS/CFT Correspondence
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• Explicit holography for vector models at finite $N$, volume and temperature
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• Character Integral Representation of Zeta function in AdS${}_{d+1}$: II. Application to partially-massless higher-spin gravities
• Aspects of Higher-Spin Theory with Fermions
• Strings on AdS_2 and the High-Energy Limit of Noncritical M-Theory
• Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• One-Loop Free Energy of Tensionless Type IIB String in AdS${}_5\times$S${}^5$
• Quantum Error Correction and Holographic Information from Bilocal Holography
• Emergent dual holographic description as a non-perturbative generalization of the Wilsonian renormalization group
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• HKLL bulk reconstruction for small $\Delta$
• Constructing the bulk at the critical point of three-dimensional large $N$ vector theories
• ABJ Theory in the Higher Spin Limit
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Aspects of topologically gauged M2-branes with six supersymmetries: towards a "sequential AdS/CFT"?
• Lorentz covariant form of extended higher-spin equations
• Infinite distances in multicritical CFTs and higher-spin holography
• Anomalous dimensions of partially-conserved higher-spin currents from conformal field theory: bosonic ${\varphi }^{2n}$ theories
• The Analytic Bootstrap for Large $N$ Chern-Simons Vector Models
• Chiral 2D "Strange Metals" from N = 4 SYM
• Holography for Tensor models
• Interpolating between $a$ and $F$
• Non-analyticity of holographic Rényi entropy in Lovelock gravity
• Flow equation for the scalar model in the large $N$ expansion and its applications
• Relative entropy in higher spin holography
• Higher Spin Currents in the Orthogonal Coset Theory
• Holographic Tunneling Wave Function
• Exact Path Integral for 3D Higher Spin Gravity
• Higher-spin realization of a dS static patch/cut-off CFT correspondence
• AdS from CFT for scalar QED
• Spinors in Supersymmetric dS/CFT
• On the Weyl anomaly of 4D Conformal Higher Spins: a holographic approach
• Scalar Correlators in Bosonic Chern-Simons Vector Models
• Entanglement transfer from quantum matter to classical geometry in an emergent holographic dual description of a scalar field theory
• Holographic quantization of linearized higher-spin gravity in the de Sitter causal patch
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• On phase transitions in the Rényi entropies of 2+1-d large-N interacting vector models
• AdS/CFT and the cosmological constant problem
• Bulk locality and gauge invariance for boundary-bilocal cubic correlators in higher-spin gravity
• Bootstrapping Smooth Conformal Defects in Chern-Simons-Matter Theories
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Quasiconformal Group Approach to Higher Spin Algebras, their Deformations and Supersymmetric Extensions
• Quenched coupling, entangled equilibria, and correlated composite operators: a tale of two O(N) models
• Notes on Relevant, Irrelevant, Marginal and Extremal Double Trace Perturbations
• 4D Localization in Randall-Sundrum 2 Supergravity and in Vasiliev Theories
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
• Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
• Holographic computation of quantum corrections to the bulk cosmological constant
• Towards Massless Sector of Tensionless Strings on $Ad{S}_5$
• Scale symmetry breaking and generation of mass at quantum critical points
• Massive higher spins and holography
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Extension of the HKLL bulk reconstruction for small $\Delta$
• Holography and quantum states in elliptic de Sitter space
• Holographic bulk reconstruction beyond (super)gravity
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Amplitudes and partial wave unitarity bounds
• Toward a Higher-Spin Dual of Interacting Field Theories
• Towards an exact frame formulation of conformal higher spins in three dimensions
• Bulk Gauge Fields and Holographic RG from Exact RG
• Differential Poisson Sigma Models with Extended Supersymmetry
• Higher-Curvature Gravity, Black Holes and Holography
• New diagrammatic framework for higher-spin gravity
• D2 Chern-Simons Gravity
• Nonequilibrium thermodynamics perspectives for the monotonicity of the renormalization group flow
• Stringy Symmetries and the Higher Spin Square
• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
• Coupling coefficient in three dimensional higher spin holography
• Quantum many-body physics from a gravitational lens
• Null warped AdS in higher spin gravity
• Equivalence of open/closed strings
• Global aspects of the renormalization group and the Hierarchy problem
• On correlation functions as higher-spin invariants
• A String Dual for Partially Topological Chern-Simons-Matter Theories
• Higher Spin Holography and AdS String Sigma-Model
• Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins
• Interacting CFTs for all couplings: Thermal versus Entanglement Entropy at Large $N$
• Higher Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics
• Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory
• HS Yang-Mills-like models: a review
• Conformal correlators in the critical $O(N)$ vector model
• Holomorphic primary fields in free CFT4 and Calabi-Yau orbifolds
• Holographic RG from ERG: Locality and General Coordinate Invariance in the Bulk
• String Theory and Emergent AdS Geometry in Higher Spin Field Theories
• Holographic de Sitter Spacetime and Quantum Corrections to The Cosmological Constant
• On Interacting Higher Spin Bosonic Gauge Fields in BRST-antifield Formalism
• FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
• Anomalous dimensions at small spins
• Exact effective action for the O(N) vector model in the large N limit
• Towards holography for quantum mechanics
• New analytic solutions in String Field Theory: towards collective Higher Spin vacuum
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Beyond AdS Space-times, New Holographic Correspondences and Applications
• Order parameter dynamics of the non-linear sigma model in the large $N$ limit
• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level
• Global and local thermodynamics of the (2+1)-dimensional rotating Gauss-Bonnet black hole
• Higher spin holography with Galilean symmetry in general dimensions
• Higher-Spin Gauge Models in the BRST-antifield Formalism
• Emergent Supersymmetry at Large $N$
• Renormalization group flow to effective quantum mechanics at IR in an emergent dual holographic description for spontaneous chiral symmetry breaking
• 3d Large $N$ Vector Models at the Boundary
• New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and Applications
• Tensor Field Theories: Renormalization and Random Geometry
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Holographic renormalization in no-boundary quantum cosmology
• Higher-spin fields and charges in the periodic spinor space
• Nonequilibrium dynamics of the O(N) model on dS_3 and AdS crunches
• Anomaly of Tensionless String in Light-cone Gauge
• Precursors and BRST Symmetry
• Induced Action for Conformal Higher Spins from Worldline Path Integrals
• Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality
• Bi-Local Fields in AdS${}_5$ Spacetime
• Group manifold approach to higher spin theory
• Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry
• Massless graviton in a model of quantum gravity with emergent spacetime
• Radial quantization of the 3d CFT and the higher spin/vector model duality
• Partition functions on squashed seven-spheres and holography
• The Small $\mathcal{N}=4$ Superconformal ${\mathcal{W}}_{\infty }$ Algebra
• Dualities in 3D Large $N$ Vector Models
• Towards a quantum field theory of primitive string fields
• On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS
• Generalized monodromy method in gauge/gravity duality
• Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations
• Higher Spins as Rolling Tachyons in Open String Field Theory
• Supersymmetric Form of the String Action in the Presence of the Gauge Field
• Higher Spin Theories from Finsler Geometry
• On boundary conditions and spacetime/fibre duality in Vasiliev's higher-spin gravity
• Holographic RG and Exact RG in O(N) Model
• Bosonic Higher Spin Gravity in any Dimension with Dynamical Two-Form
• Exploring Free Matrix CFT Holographies at One-Loop
• Topological Fields in $4d$ Higher Spin Theory
• Antiquity, Dark Ages and Renaissance of Light-Front Higher Spin Theory
• Higher-spin localized shocks
• AdS/CFT correspondence for the $O(N)$ invariant critical ${\phi }^4$ model in 3-dimensions by the conformal smearing
• Fermionic Vector Model Solitons in the Large N Limit
• Possible large-N fixed-points and naturalness for O(N) scalar fields
• Chiral Higher Spin Gravity in (A)dS${}_4$ and secrets of Chern-Simons Matter Theories
• Fermions in worldline holography
• The Cubic Fixed Point at Large $N$
• Invariant traces of the flat space chiral higher-spin algebra as scattering amplitudes
• Higher Spin Gravity: Quantization and Algebraic Structures
• Three Dimensional Bosonization From Supersymmetry
• Bifundamental Multiscalar Fixed Points in $d=3-\epsilon$
• Bootstrap and collider physics of parity violating conformal field theories in $d=3$
• Comparison between renormalization group derived emergent dual holography and string theory based holographic duality
• Non-local Geometry inside Lifshitz Horizon
• Naturalness via scale invariance and non-trivial UV fixed points in a 4d O(N) scalar field model in the large-N limit