Higher Spin Gauge Theories in Various Dimensions

Abstract

Properties of nonlinear higher spin gauge theories of totally symmetric massless higher spin fields in anti-de Sitter space of any dimension are discussed with the emphasize on the general aspects of the approach.

LaTeX, 20 pages, Unified version of the talks delivered at International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, Dubna, Russia, July 24-29, 2003), 27th Johns Hopkins Workshop (Goteborg, Sweden, August 24-26) and 36th International Symposium Ahrenshoop on the Theory of Elementary Particles (Berlin, Germany, 26-30 Aug 2003); typos corrected, reference added

References in corpus (3)

• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• The minimal conformal O(N) vector sigma model at d=3

Cited by in corpus (158)

• Nonlinear higher spin theories in various dimensions
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Introduction to the Classical Theory of Higher Spins
• String Lessons for Higher-Spin Interactions
• General trilinear interaction for arbitrary even higher spin gauge fields
• Refined stable pair invariants for E-, M- and [p,q]-strings
• Effective action in a higher-spin background
• Tensionless Strings and Galilean Conformal Algebra
• 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
• Higher Spin Symmetry and N=4 SYM
• 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
• Higher-Spin Interactions: four-point functions and beyond
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• Tensionless Strings from Worldsheet Symmetries
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Universal Limits on Massless High-Spin Particles
• Frame-like gauge invariant formulation for massive high spin particles
• Parent field theory and unfolding in BRST first-quantized terms
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Quartet unconstrained formulation for massless higher spin fields
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Lagrange structure and quantization
• BRST approach to Lagrangian construction for fermionic massless higher spin fields
• Consistent couplings between spin-2 and spin-3 massless fields
• Conceptual Aspects of Gauge/Gravity Duality
• Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
• On higher spin interactions with matter
• Dynamics of Higher Spin Fields and Tensorial Space
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• Constraining conformal field theories with a higher spin symmetry in d> 3 dimensions
• BRST theory without Hamiltonian and Lagrangian
• 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
• Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Covariant Non-Commutative Space-Time
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• Spin three gauge theory revisited
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• The continuous spin limit of higher spin field equations
• Tensionless Superstrings: View from the Worldsheet
• Direct construction of a cubic selfinteraction for higher spin gauge fields
• String theory triplets and higher-spin curvatures
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• 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
• Bosons, fermions and anyons in the plane, and supersymmetry
• A Bound on Massive Higher Spin Particles
• Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
• Solving all 4-point correlation functions for bosonic open string theory in the high energy limit
• On Lagrangian formulation of Higher Spin Theories on AdS
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Off-shell construction of some trilinear higher spin gauge field interactions
• Inhomogeneous Tensionless Superstrings
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Covariant 4-dimensional fuzzy spheres, matrix models and higher spin
• Cubic interaction vertex of higher-spin fields with external electromagnetic field
• Notes on higher-spin algebras: minimal representations and structure constants
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Infinite spin particles
• On the relation between local and geometric Lagrangians for higher spins
• Detours and Paths: BRST Complexes and Worldline Formalism
• Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space
• Effective action for higher spin fields on (A)dS backgrounds
• Superfield Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields
• A Gauge Field Theory of Continuous-Spin Particles
• Scalar scattering via conformal higher spin exchange
• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• "Massive" Higher Spin Multiplets and Holography
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• Lifshitz Holography with Isotropic Scale Invariance
• Lagrangian formulation of the massive higher spin N=1 supermultiplets in $Ad{S}_4$ space
• Higher Spins and Stringy AdS5xS5
• General properties of the expansion methods of Lie algebras
• U(N) spinning particles and higher spin equations on complex manifolds
• General Cubic Interacting Vertex for Massless Integer Higher Spin Fields
• Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space
• Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• Massive 4D, N = 1 Superspin 1 & 3/2 Multiplets and Dualities
• Non-Compact Hopf Maps and Fuzzy Ultra-Hyperboloids
• Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models
• Investigations into Light-front Quartic Interactions for Massless Fields (I): Non-constructibility of Higher Spin Quartic Amplitudes
• Massive relativistic particle model with spin from free two-twistor dynamics and its quantization
• Higher spin symmetry (breaking) in N=4 SYM theory and holography
• A CSP Field Theory with Helicity Correspondence
• BRST Detour Quantization
• Generalized Einstein Operator Generating Functions
• BRST approach to Lagrangian formulation of bosonic totally antisymmeric tensor fields in curved space
• Old and New No Go Theorems on Interacting Massless Particles in Flat Space
• Symmetries and currents of the ideal and unitary Fermi gases
• Structure of Higher Spin Gauge Interactions
• On gravitational interactions for massive higher spins in $Ad{S}_3$
• BRST approach to higher spin field theories
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• "Square Root" of the Proca Equation: Spin-3/2 Field Equation
• Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification
• An Abstract Interface to Higher Spin Gauge Field Theory
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• An infinite supermultiplet of massive higher-spin fields
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• Higher Spin Lifshitz Theory and Integrable Systems
• Gauge gravitation theory from the geometric viewpoint
• Higher spin gauge theory on fuzzy $S_N^4$
• $\ell$-oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
• Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field
• A remark on the Lagrange structure of the unfolded field theory
• BRST Lagrangian construction for spin-2 field in Einstein space
• Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
• On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry
• On 4D, N = 1 Massless Gauge Superfields of Higher Superspin: Integer Case
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• Lagrange Anchor and Characteristic Symmetries of Free Massless Fields
• BRST Analysis of the Supersymmetric Higher Spin Field Models
• Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
• Linear relations among 4-point functions in the high energy limit of string theory
• On the fermionic Grande Bouffe: more on higher spin symmetry breaking in AdS/CFT
• Gauge dependence of vacuum expectation values of gauge invariant operators from soft breaking of BRST symmetry. Example of Gribov-Zwanziger action
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• Fermionic higher-spin triplets in AdS
• On higher spin partition functions
• Progress in Gauge Invariant Lagrangian Construction for Massive Higher Spin Fields
• BPS preons and the AdS-M-algebra
• Quaternionic Kaehler Detour Complexes & N=2 Supersymmetric Black Holes
• Higher spin fields from indefinite Kac-Moody algebras
• Faster Tensor Canonicalization
• Towards the structure of a cubic interaction vertex for massless integer higher spin fields
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
• N-Complexes and Higher Spin Gauge Fields
• Massive higher spins and holography
• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
• Gauge-invariant Lagrangians for mixed-antisymmetric higher spin fields
• Gauged Supergravities and the Physics of Extra Dimensions
• Kinematics of arbitrary spin matter fields in loop quantum gravity
• On Lagrangian Formulation for Half-integer HS Fields within Hamiltonian BRST Approach
• Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time
• On Lagrangian Formulation for Spin (2,1,1) Massive Tensor Field on Minkowski Backgrounds
• Lagrangian formulation of free arbitrary N-extended massless higher spin supermultiplets in 4D, AdS space
• Supersymmetric higher spin models in three dimensional spaces
• Deformations, renormgroup, symmetries, AdS/CFT
• On Lagrangian formulations for arbitrary bosonic HS fields on Minkowski backgrounds
• Programming Realization of Symbolic Computations for Non-linear Commutator Superalgebras over the Heisenberg--Weyl Superalgebra: Data Structures and Processing Methods
• Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds
• Towards Lagrangian formulations of mixed-symmetry Higher Spin Fields on AdS-space within BFV-BRST formalism
• Massive mixed symmetry field dynamics in open bosonic string theory
• Equation for one-loop divergences in two dimensions and its application to higher spin fields
• Holographic RG and Exact RG in O(N) Model
• On general Lagrangian formulations for arbitrary mixed-symmetric higher-spin fermionic fields on Minkowski backgrounds