Introduction to the Classical Theory of Higher Spins

Abstract

We review main features and problems of higher spin field theory and flash some ways along which it has been developed over last decades.

JHEP Style, 32 pages; v2 typos corrected, comments and references added; v3 new material in Section 3 and refs. added, version published in AIP Conf.Proc. 767(2005)172

References in corpus (9)

• Nonlinear higher spin theories in various dimensions
• Higher Spin Gauge Theories in Various Dimensions
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• An Introduction to Free Higher-Spin Fields
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• Dynamics of Higher Spin Fields and Tensorial Space
• On Massive Mixed Symmetry Tensor Fields in Minkowski Space and (A)dS
• Massive gauge-invariant field theories on spaces of constant curvature
• GL Flatness of OSp(1|2n) and Higher Spin Field Theory from Dynamics in Tensorial Spaces

Cited by in corpus (174)

• Theoretical Aspects of Massive Gravity
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear higher spin theories in various dimensions
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• String Lessons for Higher-Spin Interactions
• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• AdS_4/CFT_3 Construction from Collective Fields
• Consistency Conditions on the S-Matrix of Massless Particles
• General trilinear interaction for arbitrary even higher spin gauge fields
• Geometric Formulation for Partially Massless Fields
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• A generating function for the cubic interactions of higher spin fields
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Frame-like gauge invariant formulation for massive high spin particles
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Elements of Vasiliev theory
• Quartet unconstrained formulation for massless higher spin fields
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• BRST approach to Lagrangian construction for fermionic massless higher spin fields
• On the cubic interactions of massive and partially-massless higher spins in (A)dS
• Maxwell-like Lagrangians for higher spins
• Dynamics of Higher Spin Fields and Tensorial Space
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• Mixed-Symmetry Massless Fields in Minkowski space Unfolded
• Spinning particles and higher spin fields on (A)dS backgrounds
• On spin 3 interacting with gravity
• Spin 3 cubic vertices in a frame-like formalism
• Exploring the S-Matrix of Massless Particles
• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• On the Theory of Continuous-Spin Particles: Wavefunctions and Soft-Factor Scattering Amplitudes
• FV-type action for AdS(5) mixed-symmetry fields
• String Theory and The Velo-Zwanziger Problem
• Geometric Lagrangians for massive higher-spin fields
• (A)dS exchanges and partially-massless higher spins
• The continuous spin limit of higher spin field equations
• A gauge field theory of fermionic Continuous-Spin Particles
• Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
• String theory triplets and higher-spin curvatures
• On the Theory of Continuous-Spin Particles: Helicity Correspondence in Radiation and Forces
• Direct construction of a cubic selfinteraction for higher spin gauge fields
• Transverse Invariant Higher Spin Fields
• Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• Interactions of Massless Higher Spin Fields From String Theory
• On Lagrangian formulation of Higher Spin Theories on AdS
• From Higher Spins to Strings: A Primer
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Spin-3 Topological Massive Gravity
• Off-shell construction of some trilinear higher spin gauge field interactions
• Classical Spin Gravitational Compton Scattering
• Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Cubic interaction vertex of higher-spin fields with external electromagnetic field
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Higher Spin Dark Matter
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• On Killing tensors and cubic vertices in higher-spin gauge theories
• Unfolded Description of $Ad{S}_4$ Kerr Black Hole
• Infinite spin particles
• Detours and Paths: BRST Complexes and Worldline Formalism
• Basic introduction to higher-spin theories
• Effective action for higher spin fields on (A)dS backgrounds
• Superfield Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields
• Higher-spin Chern-Simons theories in odd dimensions
• Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Collective Dipole Model of AdS/CFT and Higher Spin Gravity
• A Gauge Field Theory of Continuous-Spin Particles
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields
• The complete theory of Maxwell and Proca fields
• CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS
• Gauge invariants and Killing tensors in higher-spin gauge theories
• CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• "Massive" Higher Spin Multiplets and Holography
• Manifest Duality for Partially Massless Higher Spins
• U(N) spinning particles and higher spin equations on complex manifolds
• On holomorphic sector of higher-spin theory
• Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• Massive 4D, N = 1 Superspin 1 & 3/2 Multiplets and Dualities
• Eikonal Scattering and Asymptotic Superluminality of Massless Higher Spin Fields
• Higher-spin Yang-Mills, amplitudes and self-duality
• Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models
• Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?
• Interferometer Constraints on the Inflationary Field Content
• Higher spin symmetry (breaking) in N=4 SYM theory and holography
• A CSP Field Theory with Helicity Correspondence
• On the boundary gauge dual of closed tensionless free strings in AdS
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• One-loop effective actions and higher spins
• BRST Detour Quantization
• Massless higher spin D=4 superparticle with both N=1 supersymmetry and its bosonic counterpart
• Geometric massive higher spins and current exchanges
• Generalized Einstein Operator Generating Functions
• Higher Spins from Nonlinear Realizations of $OSp(1|8)$
• Higher Spins in Hyperspace
• On Dimensional Degression in AdS(d)
• On gravitational interactions for massive higher spins in $Ad{S}_3$
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Lagrangian conformal higher spin theory
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• How General Is Holography?
• Solutions of Free Higher Spins in AdS
• Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification
• Master Higher-Spin Particle
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• One-loop effective actions and higher spins. II
• BPS preons in supergravity and higher spin theories. An overview from the hill of twistor appraoch
• Finite N Index and Angular Momentum Bound from Gravity
• Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields
• Planar solutions of higher-spin theory I: free field level
• On the infinite-dimensional spin-2 symmetries in Kaluza-Klein theories
• Unfolded Dynamics and Parameter Flow of Generic AdS(4) Black Hole
• On BF-type higher-spin actions in two dimensions
• Lectures on Higher Spin Holography
• BRST Lagrangian construction for spin-2 field in Einstein space
• Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field
• Massive Relativistic Particle Models with Bosonic Counterpart of Supersymmetry
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• BRST Analysis of the Supersymmetric Higher Spin Field Models
• Bosonic Massless Higher Spin Fields from Matrix Model
• Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
• Conformal symmetry for relativistic point particles
• On the fermionic Grande Bouffe: more on higher spin symmetry breaking in AdS/CFT
• Gauge invariant and gauge fixed actions for various higher-spin fields from string field theory
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• Rarita--Schwinger field and multi-component wave equation
• Gauge dependence of vacuum expectation values of gauge invariant operators from soft breaking of BRST symmetry. Example of Gribov-Zwanziger action
• Asymptotic Symmetry Algebras in Non-Anti-de-Sitter Higher-Spin Gauge Theories
• Fermionic higher-spin triplets in AdS
• On Lagrangian formulations for mixed-symmetry HS fields on AdS spaces within BFV-BRST approach
• Quaternionic Kaehler Detour Complexes & N=2 Supersymmetric Black Holes
• BPS preons and the AdS-M-algebra
• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
• String Amplitudes and Frame-like Formalism for Higher Spins
• Gauging the higher-spin-like symmetries by the Moyal product
• A connection between linearized Gauss-Bonnet gravity and classical electrodynamics II: Complete dual formulation
• "Dynamical" interactions and gauge invariance
• Higher Spin Particles with Bosonic Counterpart of Supersymmetry
• Spinning Particles in Quantum Mechanics and Quantum Field Theory
• Massive Kaluza-Klein Theories and their Spontaneously Broken Symmetries
• Nonlinear Realizations in Tensorial Superspaces and Higher Spins
• On massive higher spins and gravity. I. Spin 5/2
• Higher Spins at the Quintic Order: Localization Effect and Simplifications
• On Lagrangian Formulation for Half-integer HS Fields within Hamiltonian BRST Approach
• Two-twistor particle models and free massive higher spin fields
• Higher Spin Holography and AdS String Sigma-Model
• On Lagrangian Formulation for Spin (2,1,1) Massive Tensor Field on Minkowski Backgrounds
• Massless Rarita-Schwinger field from a divergenceless anti-symmetric-tensor spinor of pure spin-$3/2$
• Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Higher Spin Fields and Symplectic Geometry
• Programming Realization of Symbolic Computations for Non-linear Commutator Superalgebras over the Heisenberg--Weyl Superalgebra: Data Structures and Processing Methods
• BPS preons in M-theory and supergravity
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Higher-spin dynamics and Chern-Simons theories
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• BPS preons and higher spin theory in D=4, 6, 10
• Polarized solitons in higher-spin wave dark matter
• On general Lagrangian formulations for arbitrary mixed-symmetric higher-spin fermionic fields on Minkowski backgrounds
• A classical mechanical model of two interacting massless particles in de Sitter space and its quantization
• Symmetry and holonomy in M Theory
• A model for massless higher spin field interacting with a geometrical background
• Theories of Massive Gravity in 2+1 Dimensions
• Curvature tensors of higher-spin gauge theories derived from general Lagrangian densities
• On a Division Algebra Classification of Constrained Generalized Supersymmetries