Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings

Abstract

The correspondences proposed previously between higher spin gauge theories and free singleton field theories were recently extended into a more complete picture by Klebanov and Polyakov in the case of the minimal bosonic theory in D=4 to include the strongly coupled fixed point of the 3d O(N) vector model. Here we propose an N=1 supersymmetric version of this picture. We also elaborate on the role of parity in constraining the bulk interactions, and in distinguishing two minimal bosonic models obtained as two different consistent truncations of the minimal N=1 model that retain the scalar or the pseudo-scalar field. We refer to these models as the Type A and Type B models, respectively, and conjecture that the latter is holographically dual to the 3d Gross-Neveu model. In the case of the Type A model, we show the vanishing of the three-scalar amplitude with regular boundary conditions. This agrees with the O(N) vector model computation of Petkou, thereby providing a non-trivial test of the Klebanov-Polyakov conjecture.

arXiv comment30pp

References in corpus (25)

• AdS/CFT Correspondence and Symmetry Breaking
• AdS Dual of the Critical O(N) Vector Model
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Massless Higher Spins and Holography
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Giant Gravitons in Conformal Field Theory
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
• Stringy gravity, interacting tensionless strings and massless higher spins
• A universal result on central charges in the presence of double-trace deformations
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Holography of the N=1 Higher-Spin Theory on AdS4
• Notes On Higher Spin Symmetries
• Conserved Currents, Consistency Relations and Operator Product Expansions in the Conformally Invariant O(N) Vector Model
• Doubletons and 5D Higher Spin Gauge Theory
• Analysis of Higher Spin Field Equations in Four Dimensions
• Evaluating the AdS dual of the critical O(N) vector model
• Towards Massless Higher Spin Extension of D=5, N=8 Gauged Supergravity
• 3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin Theories on AdS
• Higher Spin N=8 Supergravity
• On N=1,2,4 Higher Spin Gauge Theories in Four Dimensions
• Superspace Formulation of 4D Higher Spin Gauge Theory
• Higher Spin N=8 Supergravity in AdS_4
• Scalar Field Corrections to AdS_4 Gravity from Higher Spin Gauge Theory
• Phase Structure of Supersymmetric Models at Finite Temperature
• The Holographic Dual of a SUSY Vector Model and Tensionless Open Strings

Cited by in corpus (237)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Chern-Simons Theory with Vector Fermion Matter
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Minimal Model Holography
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• On higher spins and the tensionless limit of String Theory
• Spinning AdS Propagators
• F-Theorem without Supersymmetry
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Black holes in three dimensional higher spin gravity: A review
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• The Higher Spin/Vector Model Duality
• Higher Spins & Strings
• On stringy AdS_5 x S^5 and higher spin holography
• Light-Front Higher-Spin Theories in Flat Space
• Higher Spins in AdS and Twistorial Holography
• One Loop Tests of Higher Spin AdS/CFT
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• AdS_4/CFT_3 Construction from Collective Fields
• The Thermal Free Energy in Large N Chern-Simons-Matter Theories
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Late-time Structure of the Bunch-Davies De Sitter Wavefunction
• From Free Fields to $AdS$
• Effective action in a higher-spin background
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Large N=4 Holography
• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• Higher-spin Interactions from CFT: The Complete Cubic Couplings
• Duality between $(2+1)d$ Quantum Critical Points
• Higher Spin Gravity with Matter in AdS_3 and Its CFT Dual
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• From Free Fields to $AdS$ -- III
• Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal
• AdS Description of Induced Higher-Spin Gauge Theory
• On Higher Spin Gauge Theory and the Critical O(N) Model
• Minimal Local Lagrangians for Higher-Spin Geometry
• Light-Front Bootstrap for Chern-Simons Matter Theories
• Higher Spin AdS${}_{d+1}$/CFT${}_d$ at One Loop
• An Exact Solution of 4D Higher-Spin Gauge Theory
• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• Biaxially symmetric solutions to 4D higher-spin gravity
• Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry
• Scalar fields and three-point functions in D=3 higher spin gravity
• On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models
• Supersymmetric Chern-Simons Theories with Vector Matter
• On Higher Spins with a Strong Sp(2,R) Condition
• Brane Partons and Singleton Strings
• Constraining conformal field theories with a higher spin symmetry in d> 3 dimensions
• Real Forms of Complex Higher Spin Field Equations and New Exact Solutions
• Duality in N=2 minimal model holography
• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• Operator algebra of free conformal currents via twistors
• Vector Models in the Singlet Sector at Finite Temperature
• Higher Spin Gravity Amplitudes From Zero-form Charges
• Higher-Spin Theory and Space-Time Metamorphoses
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• Quantum ${\varphi }^4$ Theory in AdS${}_4$ and its CFT Dual
• Non-Abelian tensor gauge fields: generalization of Yang-Mills theory
• Geometry and Observables in Vasiliev's Higher Spin Gravity
• Veneziano Amplitude of Vasiliev Theory
• Exact higher-spin symmetry in CFT: free fermion correlators from Vasiliev Theory
• Vector models and generalized SYK models
• Supersymmetric holography on AdS3
• Generalization of Yang-Mills Theory
• The symmetry of large N=4 holography
• A minimal BV action for Vasiliev's four-dimensional higher spin gravity
• TASI Lectures on the Higher Spin - CFT duality
• Even spin minimal model holography
• From Higher Spins to Strings: A Primer
• On quantum corrections in higher-spin theory in flat space
• Flato-Fronsdal theorem for higher-order singletons
• Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations
• Comments on higher-spin holography
• The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Towards higher-spin holography in ambient space of any dimension
• Spontaneous Breaking of Scale Invariance in a d=3 U(N) Model with Chern-Simons Gauge Field
• Chern-Simons Matter Theories and Higher Spin Gravity
• Bi-local Construction of Sp(2N)/dS Higher Spin Correspondence
• Probing higher spin black holes
• Limits of minimal models and continuous orbifolds
• Homotopy Operators and Locality Theorems in Higher-Spin Equations
• Chern-Simons-Fermion Vector Model with Chemical Potential
• Conformal Coupling of Higher Spin Gauge Fields to a Scalar Field in $Ad{S}_4$ and Generalized Weyl Invariance
• Light States in Chern-Simons Theory Coupled to Fundamental Matter
• Geodesic bulk diagrams on the Bruhat-Tits tree
• N=1 extension of minimal model holography
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Multiparticle extension of the higher-spin algebra
• Perturbations of W(infinity) CFTs
• Twistor space observables and quasi-amplitudes in 4D higher spin gravity
• Higher Spins and Matter Interacting in Dimension Three
• Current Interactions and Holography from the 0-Form Sector of Nonlinear Higher-Spin Equations
• On the Local Frame in Nonlinear Higher-Spin Equations
• Type-B Formal Higher Spin Gravity
• Spin-Locality of Higher-Spin Theories and Star-Product Functional Classes
• Formal Higher-Spin Theories and Kontsevich-Shoikhet-Tsygan Formality
• 1/N and Loop Corrections in Higher Spin AdS_4/CFT_3 Duality
• A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models
• An Entropy Formula for Higher Spin Black Holes via Conical Singularities
• On the AdS Higher Spin / O(N) Vector Model Correspondence: degeneracy of the holographic image
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• On holomorphic sector of higher-spin theory
• Bulk quartic vertices from boundary four-point correlators
• More on Chiral Higher Spin Gravity and Convex Geometry
• Deformed Twistors and Higher Spin Conformal (Super-)Algebras in Six Dimensions
• 3D Field Theories with Chern--Simons Term for Large $N$ in the Weyl Gauge
• Phase Structure of Higher Spin Black Hole
• FRW and domain walls in higher spin gravity
• Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions
• Higher-spin currents in the Gross-Neveu model at $1/n^2$
• 4D Higher Spin Gravity with Dynamical Two-Form as a Frobenius--Chern--Simons Gauge Theory
• AdS one-loop partition functions from bulk and edge characters
• Higher spins in the symmetric orbifold of K3
• Seeking SUSY fixed points in the $4-\epsilon$ expansion
• Higher spin currents in the critical $O(N)$ vector model at $1/N^2$
• Vector model in various dimensions
• Holography, Duality and Higher-Spin Theories
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• On the boundary gauge dual of closed tensionless free strings in AdS
• Chern-Simons-Ghost Theories and de Sitter Space
• The Continuous Orbifold of N=2 Minimal Model Holography
• Chiral Higher Spin Gravity and Convex Geometry
• Towards higher-spin AdS${}_2$/CFT${}_1$ holography
• Dualities from higher-spin supergravity
• A dual lagrangian for non-Abelian tensor gauge fields
• The non-linear coupled spin 2 - spin 3 Cotton equation in three dimensions
• The minimal conformal O(N) vector sigma model at d=3
• On one loop corrections in higher spin gravity
• Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields
• Manifest Form of the Spin-Local Higher-Spin Vertex ${{\rm Y}}_{\omega CCC}^{\eta \eta }$
• Double-Trace Flows and the Swampland
• Chern-Simons theory coupled to bifundamental scalars
• Characteristic Cohomology and Observables in Higher Spin Gravity
• Slightly Broken Higher Spin Symmetry: General Structure of Correlators
• Quartic locality of higher-spin gravity in de Sitter and Euclidean anti-de Sitter space
• An Action for Matter Coupled Higher Spin Gravity in Three Dimensions
• Planar solutions of higher-spin theory. Nonlinear corrections
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Disordered vector models: from higher spins to incipient strings
• Massive and massless higher spinning particles in odd dimensions
• ABJ Quadrality
• Perturbative analysis in higher-spin theories
• 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
• Testing the Boson/Fermion Duality on the Three-Sphere
• Charges in nonlinear higher-spin theory
• Higher Spin vs. Renormalization Group Equations
• Vectorial AdS_5/CFT_4 duality for spin-one boundary theory
• Higher Spin de Sitter Hilbert Space
• Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields
• Line of Fixed Points in Gross-Neveu Theories
• Holographic Chern-Simons Theories
• On (Un)Broken Higher-Spin Symmetry in Vector Models
• Bilinear Fronsdal currents in the $Ad{S}_4$ higher-spin theory
• Lectures on Higher Spin Holography
• On twist-two operators in N=4 SYM
• Twisted sectors from plane partitions
• Higher-spin gravity as a theory on a fixed (anti) de Sitter background
• Antipodally symmetric gauge fields and higher-spin gravity in de Sitter space
• CFT4 as SO(4,2)-invariant TFT2
• Singleton deformation of higher-spin theory and the phase structure of the three-dimensional O(N) vector model
• Anomalous dimensions of higher spin currents in large N CFTs
• Higher-spin gauge theories in three spacetime dimensions
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• One Loop Tests of Supersymmetric Higher Spin $Ad{S}_4/CF{T}_3$
• On Singleton Composites in Non-compact WZW Models
• Critical Fermions with Spontaneously Broken Scale Symmetry
• Propagating modes of non-Abelian tensor gauge field of second rank
• Even spin $\mathcal{N}=4$ holography
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
• MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch
• Higher-spin gravity's "string": new gauge and proof of holographic duality for the linearized Didenko-Vasiliev solution
• Free quantum fields in 4D and Calabi-Yau spaces
• AdS/CFT in Fractional Dimension and Higher Spin Gravity at One Loop
• An axial gauge ansatz for higher spin theories
• On the fermionic Grande Bouffe: more on higher spin symmetry breaking in AdS/CFT
• Holography beyond conformal invariance and AdS isometry?
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• Aspects of Higher-Spin Theory with Fermions
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• Character Integral Representation of Zeta function in AdS${}_{d+1}$: II. Application to partially-massless higher-spin gravities
• Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras
• The Analytic Bootstrap for Large $N$ Chern-Simons Vector Models
• Infinite distances in multicritical CFTs and higher-spin holography
• Non-analyticity of holographic Rényi entropy in Lovelock gravity
• Gauge invariant Lagrangian for non-Abelian tensor gauge fields of fourth rank
• Lorentz covariant form of extended higher-spin equations
• Interpolating between $a$ and $F$
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• Spinors in Supersymmetric dS/CFT
• Scalar Correlators in Bosonic Chern-Simons Vector Models
• Bulk locality and gauge invariance for boundary-bilocal cubic correlators in higher-spin gravity
• On the Weyl anomaly of 4D Conformal Higher Spins: a holographic approach
• Scale symmetry breaking and generation of mass at quantum critical points
• Bootstrapping Smooth Conformal Defects in Chern-Simons-Matter Theories
• Non-Abelian Tensor Gauge Fields. Enhanced Symmetries
• Holography and quantum states in elliptic de Sitter space
• Physical Fock space of tensionless strings
• New diagrammatic framework for higher-spin gravity
• Bulk Gauge Fields and Holographic RG from Exact RG
• Stringy Symmetries and the Higher Spin Square
• Towards an exact frame formulation of conformal higher spins in three dimensions
• Higher Spin Double Field Theory : A Proposal
• Non-Abelian tensor gauge fields and extended current algebra. Generalization of Yang-Mills theory
• Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory
• Coupling coefficient in three dimensional higher spin holography
• On correlation functions as higher-spin invariants
• Shifted Homotopy Analysis of the Linearized Higher-Spin Equations in Arbitrary Higher-Spin Background
• Conformal correlators in the critical $O(N)$ vector model
• Programming Realization of Symbolic Computations for Non-linear Commutator Superalgebras over the Heisenberg--Weyl Superalgebra: Data Structures and Processing Methods
• 3d Large $N$ Vector Models at the Boundary
• Tensor Field Theories: Renormalization and Random Geometry
• Anomalous dimensions at small spins
• Symmetries and Invariants in Higher-Spin Theory
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• String Theory and Emergent AdS Geometry in Higher Spin Field Theories
• On Type 0 Open String Amplitudes and the Tensionless Limit
• Higher-Rank Fields and Currents
• The Small $\mathcal{N}=4$ Superconformal ${\mathcal{W}}_{\infty }$ Algebra
• Holographic RG and Exact RG in O(N) Model
• On boundary conditions and spacetime/fibre duality in Vasiliev's higher-spin gravity
• Non-local Geometry inside Lifshitz Horizon
• Bosonic Higher Spin Gravity in any Dimension with Dynamical Two-Form
• Bootstrap and collider physics of parity violating conformal field theories in $d=3$
• Higher Spin Gravity: Quantization and Algebraic Structures