Higher-Spin Gauge Theories in Four, Three and Two Dimensions

Abstract

We review the theory of higher-spin gauge fields in four and three space-time dimensions and present some new results on higher-spin gauge interactions of matter fields in two dimensions.

LaTex, 37 pages, no figures, Invited talk at the Quantum Gravity Seminar in memory of academician Moisei Markov, June 12-19, 1995, Moscow; page format is changed, one reference is added and another one is corrected

Cited by in corpus (270)

• Massive Gravity
• AdS Dual of the Critical O(N) Vector Model
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Chern-Simons Theory with Vector Fermion Matter
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Minimal Model Holography
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• On higher spins and the tensionless limit of String Theory
• Emergent Spacetime and Holographic CFTs
• Spinning AdS Propagators
• F-Theorem without Supersymmetry
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• String Lessons for Higher-Spin Interactions
• The Higher Spin/Vector Model Duality
• Higher Spin Gauge Theories in Various Dimensions
• Free geometric equations for higher spins
• On stringy AdS_5 x S^5 and higher spin holography
• Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity
• On the geometry of higher-spin gauge fields
• Higher Spins in AdS and Twistorial Holography
• One Loop Tests of Higher Spin AdS/CFT
• Lagrangian formulation of the massless higher integer spin fields in the AdS background
• Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• AdS_4/CFT_3 Construction from Collective Fields
• Cubic Interactions of Bosonic Higher Spin Gauge Fields in $Ad{S}_5$
• Conformal Higher Spin Symmetries of 4d Massless Supermultiplets and $osp(L,2M)$ Invariant Equations in Generalized (Super)Space
• Light-cone Superstring in AdS Space-time
• Emergent Gravity of Fractons: Mach's Principle Revisited
• Late-time Structure of the Bunch-Davies De Sitter Wavefunction
• Superparticle Models with Tensorial Central Charges
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Large-N Collective Fields and Holography
• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• Current Exchanges and Unconstrained Higher Spins
• Generalized Black Holes in Three-dimensional Spacetime
• Equations of Motion for Massive Spin 2 Field Coupled to Gravity
• Higher-Spin Interactions: four-point functions and beyond
• AdS Field Theory from Conformal Field Theory
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• Higher Spin Gravity with Matter in AdS_3 and Its CFT Dual
• AdS Description of Induced Higher-Spin Gauge Theory
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
• Analysis of Higher Spin Field Equations in Four Dimensions
• P-nflation: generating cosmic Inflation with p-forms
• Minimal Local Lagrangians for Higher-Spin Geometry
• On Higher Spin Gauge Theory and the Critical O(N) Model
• Higher Spin AdS${}_{d+1}$/CFT${}_d$ at One Loop
• Biaxially symmetric solutions to 4D higher-spin gravity
• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• BRST approach to Lagrangian construction for fermionic massless higher spin fields
• Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry
• 3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin Theories on AdS
• Chemical potentials in three-dimensional higher spin anti-de Sitter gravity
• ABJ Triality: from Higher Spin Fields to Strings
• Causality of Massive Spin 2 Field in External Gravity
• On Higher Spin Theory: Strings, BRST, Dimensional Reductions
• The critical O(N) CFT: Methods and conformal data
• Maxwell-like Lagrangians for higher spins
• Brane Partons and Singleton Strings
• Symmetric Tensor Gauge Theories on Curved Spaces
• Higher spin black hole entropy in three dimensions
• Duality in N=2 minimal model holography
• Higher-spin current multiplets in operator-product expansions
• Real Forms of Complex Higher Spin Field Equations and New Exact Solutions
• New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2 Multiplet
• Entanglement Entropy of 3-d Conformal Gauge Theories with Many Flavors
• On N=1,2,4 Higher Spin Gauge Theories in Four Dimensions
• Geometric Second Order Field Equations for General Tensor Gauge Fields
• Higher Spin Black Holes with Soft Hair
• Nonsingular universe in massive gravity's rainbow
• AdS Maps and Diagrams of Bi-local Holography
• Geometric Lagrangians for massive higher-spin fields
• Higher-Spin Theory and Space-Time Metamorphoses
• A Holographic Model of the Kondo Effect
• A Derivation of AdS/CFT for Vector Models
• Theory of higher spin tensor currents and central charges
• Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
• Higher Spin de Sitter Holography from Functional Determinants
• Phase transitions and geothermodynamics of black holes in dRGT massive gravity
• String theory triplets and higher-spin curvatures
• Exact higher-spin symmetry in CFT: free fermion correlators from Vasiliev Theory
• High Spin Gauge Fields and Two-Time Physics
• Vector models and generalized SYK models
• Holographic Conformal Partial Waves as Gravitational Open Wilson Networks
• Interactions of Massless Higher Spin Fields From String Theory
• The symmetry of large N=4 holography
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• W Symmetry and Integrability of Higher spin black holes
• Massive gauge-invariant field theories on spaces of constant curvature
• Partially Massless Higher-Spin Theory
• Spin-3 Topological Massive Gravity
• Observables and Microscopic Entropy of Higher Spin Black Holes
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• The Other Fermion Compositeness
• The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• Higher Spins and Open Strings: Quartic Interactions
• Towards higher-spin holography in ambient space of any dimension
• Canonical Formulation of $O(N)$ Vector/Higher Spin Correspondence
• Holographic Representation of Higher Spin Gauge Fields
• Extension of the Poincaré group with half-integer spin generators: hypergravity and beyond
• Unfolded Description of $Ad{S}_4$ Kerr Black Hole
• Critical O(N) models above four dimensions: Small-N solutions and stability
• Finite Features of Quantum De Sitter Space
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• Massive Relativistic Particle Model with Spin and Electric Charge from Two-Twistor Dynamics
• Geodesic bulk diagrams on the Bruhat-Tits tree
• Light States in Chern-Simons Theory Coupled to Fundamental Matter
• Supersymmetric Higher Spin Theories
• Conformal Coupling of Higher Spin Gauge Fields to a Scalar Field in $Ad{S}_4$ and Generalized Weyl Invariance
• The Exact Renormalization Group and Higher-spin Holography
• Collective Dipole Model of AdS/CFT and Higher Spin Gravity
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Relation between parity-even and parity-odd CFT correlation functions in three dimensions
• Correlators in W_N Minimal Model Revisited
• M-theory and Gauged Supergravities
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Noncommutative Sp(2,R) Gauge Theories - A Field Theory Approach to Two-Time Physics
• Twistor space observables and quasi-amplitudes in 4D higher spin gravity
• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• Conformal invariant interaction of a scalar field with the higher spin field in AdS_{D}
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Positivity Constraints on Interacting Pseudo-Linear Spin-2 Fields
• Holography as a Gauge Phenomenon in Higher Spin Duality
• Gravitational dual of averaged free CFT's over the Narain lattice
• Lifshitz Holography with Isotropic Scale Invariance
• On the proposed AdS dual of the critical O(N) sigma model for any dimension 2<d<4
• Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity
• Higher-Spin Fields in Braneworlds
• Hypersymmetry bounds and three-dimensional higher-spin black holes
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Horizon as Critical Phenomenon
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• On the next-to-leading holographic entanglement entropy in $Ad{S}_3/CF{T}_2$
• Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space
• An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1/N^2$
• Deformed Twistors and Higher Spin Conformal (Super-)Algebras in Six Dimensions
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Holographic Representation of Local Operators In De Sitter Space
• Extended Self-Dual Yang-Mills from the N=2 String
• Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?
• Chiral Tensors of Mixed Young Symmetry
• Maxwell field on the Poincare group
• On electromagnetic interactions for massive mixed symmetry field
• Gravitational Couplings of Higher Spins from String Theory
• Lagrangian description of massive higher spin supermultiplets in AdS_3 space
• U*(1,1) Noncommutative Gauge Theory As The Foundation of 2T-Physics in Field Theory
• Ab initio holography
• Electromagnetic Interaction of Massive Spin-3 State from String Theory
• The Generalized Curvature and Christoffel Symbols for a Higher Spin Potential in AdS_{d+1} Space
• Constraining momentum space CFT correlators with consistent position space OPE limit and the collider bound
• Chern-Simons-Ghost Theories and de Sitter Space
• Spinor-helicity variables for cosmological horizons in de Sitter space
• Ghost and Tachyon Free Propagation up to spin-3 in Lorentz Invariant Field Theories
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Bulk from Bi-locals in Thermo Field CFT
• The masses of gauge fields in higher spin field theory on the bulk of $Ad{S}_4$
• Extension of the Shirafuji model for Massive Particles with Spin
• $\mathcal{N}=2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
• Perturbative and Non-Perturbative Aspects in Vector Model/Higher Spin Duality
• Dualities from higher-spin supergravity
• The minimal conformal O(N) vector sigma model at d=3
• Partially Massless Higher-Spin Theory II: One-Loop Effective Actions
• The off-shell behaviour of propagators and the Goldstone field in higher spin gauge theory on $Ad{S}_{d+1}$ space
• Free fermionic higher spin fields in AdS(5)
• Symmetries and currents of the ideal and unitary Fermi gases
• Chern-Simons theory coupled to bifundamental scalars
• Cubic interactions of arbitrary spin fields in 3d flat space
• Euler-Calogero-Moser system from SU(2) Yang-Mills theory
• On gravitational interactions for massive higher spins in $Ad{S}_3$
• Scattering in the static patch of de Sitter space
• Quartic locality of higher-spin gravity in de Sitter and Euclidean anti-de Sitter space
• Casimir Energy and Modularity in Higher-dimensional Conformal Field Theories
• Bosonized supersymmetry from the Majorana-Dirac-Staunton theory and massive higher-spin fields
• Higher-spin symmetry vs. boundary locality, and a rehabilitation of dS/CFT
• Modular Properties of 3D Higher Spin Theory
• Critical solutions in topologically gauged N=8 CFTs in three dimensions
• ABJ Correlators with Weakly Broken Higher Spin Symmetry
• Sub-AdS Scale Locality in AdS${}_3$/CFT${}_2$
• Scalar Field Corrections to AdS_4 Gravity from Higher Spin Gauge Theory
• The quantum one loop trace anomaly of the higher spin conformal conserved currents in the bulk of $Ad{S}_4$
• Towards causal patch physics in dS/CFT
• Massive and massless higher spinning particles in odd dimensions
• Irreversibility and higher-spin conformal field theory
• General Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains
• Massive Fields with Arbitrary Integer Spin in Homogeneous Electromagnetic Field
• Currents of Arbitrary Spin in $Ad{S}_3$
• The structure of the trace anomaly of higher spin conformal currents in the bulk of $Ad{S}_4$
• Generalized Curvature and Ricci Tensors for a Higher Spin Potential and the Trace Anomaly in External Higher Spin Fields in AdS_{4} Space
• Cubic-interaction-induced deformations of higher-spin symmetries
• On the partition functions of higher spin black holes
• The holographic dual of the Penrose transform
• Massive Fields of Arbitrary Integer Spin in Symmetrical Einstein Space
• Gluing two affine Yangians of ${\mathfrak{gl}}_1$
• Lifting a Conformal Field Theory from D-Dimensional Flat Space to (D+1)-Dimensional Ads Space
• EFT of Interacting Spin-2 Fields
• Supersymmetric Quantum Chiral Higher Spin Gravity
• Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices
• Chaos in Three-dimensional Higher Spin Gravity
• Analysis of higher spin black holes with spin-4 chemical potential
• Higher-spin gravity as a theory on a fixed (anti) de Sitter background
• Thermofield Duality for Higher Spin Rindler Gravity
• Integrable systems and the boundary dynamics of higher spin gravity on AdS${}_3$
• Relativistic wavefunctions on the Poincare group
• Higher Spin Fronsdal Equations from the Exact Renormalization Group
• On Classical Solutions of 4d Supersymmetric Higher Spin Theory
• On AdS/CFT without Massless Gravitons
• Higher-spin gauge theories in three spacetime dimensions
• Anomalous dimensions of higher spin currents in large N CFTs
• Cosmology and perturbations in tachyonic massive gravity
• On interactions of higher spin fields with gravity and branes in AdS_5
• Higher-spin charges in Hamiltonian form. II. Fermi fields
• Comments on spinning OPE blocks in AdS${}_3$/CFT${}_2$
• Interactions of Charged Spin-2 Fields
• Non-relativistic spin-3 symmetries in 2+1 dimensions from expanded/extended Nappi-Witten algebras
• MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch
• Flat space holography in spin-2 extended dilaton-gravity
• A model of quantum gravity with emergent spacetime
• Does a Cloud of Strings Affect Shear Viscosity Bound?
• Higher-spin gravity's "string": new gauge and proof of holographic duality for the linearized Didenko-Vasiliev solution
• The Holographic Dual of a SUSY Vector Model and Tensionless Open Strings
• Free quantum fields in 4D and Calabi-Yau spaces
• Higher-spin charges in Hamiltonian form. I. Bose fields
• Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry
• Symplectic gauge fields and dark matter
• A Large N expansion for Gravity
• The Teukolsky--Starobinsky constants: facts and fictions
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• Explicit holography for vector models at finite $N$, volume and temperature
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• ABJ Theory in the Higher Spin Limit
• Connection vs metric description for non-AdS solutions in higher spin theories
• Gauge procedure with gauge fields of various ranks
• Resummation of scalar correlator in higher spin black hole background
• Disentanglement of Topological and Dynamical Fields in 3d Higher-Spin Theory within Shifted Homotopy Approach
• Extended Gauge Theories in Euclidean Space with Higher Spin Fields
• Holographic quantization of linearized higher-spin gravity in the de Sitter causal patch
• Phase Transition of AdS Black hole in Massive Gravity Revisited via New Prescription
• Faster Tensor Canonicalization
• AdS from CFT for scalar QED
• Bulk locality and gauge invariance for boundary-bilocal cubic correlators in higher-spin gravity
• String Amplitudes and Frame-like Formalism for Higher Spins
• Holography and quantum states in elliptic de Sitter space
• New diagrammatic framework for higher-spin gravity
• Singular vectors for the $W_N$ algebras
• Higher Spin Double Field Theory : A Proposal
• On matter coupled to the higher spin square
• Invariant scalar product on extended Poincare algebra
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Coupling coefficient in three dimensional higher spin holography
• Selfdual Spin 2 Theory in a 2+1 Dimensional Constant Curvature Space-Time
• Higher Spins at the Quintic Order: Localization Effect and Simplifications
• Space-time symmetry from the world-sheet
• Towards holography for quantum mechanics
• Self-dual formulations of d=3 gravity theories in the path-integral framework
• The Effect of Bulk Dimension in the presence of String Cloud on Viscosity Bound
• Massless graviton in a model of quantum gravity with emergent spacetime
• Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations
• On-Shell Gauge Invariant Three-Point Amplitudes
• On Type 0 Open String Amplitudes and the Tensionless Limit
• AdS/CFT correspondence for the $O(N)$ invariant critical ${\phi }^4$ model in 3-dimensions by the conformal smearing
• Non-local Geometry inside Lifshitz Horizon
• Wald type analysis for spin-one fields in three dimensions
• Diagonalization Procedure for Reducible Massless N=1 Supermultiplets
• Higher Spins as Rolling Tachyons in Open String Field Theory