Cubic interactions of Maxwell-like higher spins

Abstract

We study the cubic vertices for Maxwell-like higher-spins in flat and (A)dS background spaces of any dimension. Reducibility of their free spectra implies that a single cubic vertex involving any three fields subsumes a number of couplings among different particles of various spins. The resulting vertices do not involve traces of the fields and in this sense are simpler than their Fronsdal counterparts. We propose an extension of both the free theory and of its cubic deformation to a more general class of partially reducible systems, that one can obtain from the original theory upon imposing trace constraints of various orders. The key to our results is a version of the Noether procedure allowing to systematically account for the deformations of the transversality conditions to be imposed on the gauge parameters at the free level.

57 pages; added Section 7 including (A)dS off-shell cubic vertices and corresponding generating function. Outlook extended with comments on Maxwell-like spectra and higher-spin algebras

References in corpus (30)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Transverse Fierz-Pauli symmetry
• Light-Front Higher-Spin Theories in Flat Space
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• Current Exchanges and Unconstrained Higher Spins
• A generating function for the cubic interactions of higher spin fields
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Higher-spin Interactions from CFT: The Complete Cubic Couplings
• Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Quartet unconstrained formulation for massless higher spin fields
• Consistent couplings between spin-2 and spin-3 massless fields
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• On spin 3 interacting with gravity
• Twofold Symmetries of the Pure Gravity Action
• Geometric Lagrangians for massive higher-spin fields
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• Transverse Invariant Higher Spin Fields
• Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation
• Higher-Spin Algebras, Holography and Flat Space
• Higher Spins and String Interactions
• Higher Spins and Open Strings: Quartic Interactions
• On Killing tensors and cubic vertices in higher-spin gauge theories
• Generalised connections and higher-spin equations
• Rainbow Valley of Colored (Anti) de Sitter Gravity in Three Dimensions
• Investigations into Light-front Quartic Interactions for Massless Fields (I): Non-constructibility of Higher Spin Quartic Amplitudes
• A Riccati type PDE for light-front higher helicity vertices
• Mixed-symmetry multiplets and higher-spin curvatures
• Rainbow Vacua of Colored Higher Spin Gravity in Three Dimensions

Cited by in corpus (49)

• Higher-Spin Gauge Theories and Bulk Locality
• Spinning AdS Loop Diagrams: Two Point Functions
• Light-cone gauge cubic interaction vertices for massless fields in AdS(4)
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Basic introduction to higher-spin theories
• On the Lagrangian formulation of the double copy to cubic order
• Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$
• Cubic interactions of massless bosonic fields in three dimensions
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• On current contribution to Fronsdal equations
• Eikonal Scattering and Asymptotic Superluminality of Massless Higher Spin Fields
• Looking for partially-massless gravity
• Topologically massive higher spin gauge theories
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• Vertex-Constraints in 3D Higher Spin Theories
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$
• A note on unfree gauge symmetry
• Higher Spin Gravities and Presymplectic AKSZ Models
• On special quartic interaction of higher spin gauge fields with scalars and gauge symmetry commutator in the linear approximation
• Unfree gauge symmetry in the BV formalism
• Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators
• Restrictions for $n$-Point Vertices in Higher-Spin Theories
• Cubic Interaction for Higher Spins in $Ad{S}_{d+1}$ space in the explicit covariant form
• Bilinear Fronsdal currents in the $Ad{S}_4$ higher-spin theory
• Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
• Cubic interactions of d4 irreducible massless higher spin fields within BRST approach
• Unfree gauge symmetry in the Hamiltonian formalism
• Hamiltonian constraints and unfree gauge symmetry
• Analytic meronic black holes, gravitating solitons and higher spins in the Einstein $SU(N)$-Yang-Mills theory
• Lorentz covariant form of extended higher-spin equations
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• Hamiltonian BFV-BRST Quantization for the Systems with Unfree Gauge Symmetry
• Bulk locality and gauge invariance for boundary-bilocal cubic correlators in higher-spin gravity
• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Massless higher spin cubic vertices in flat four dimmensional space
• Topics in Asymptotic Symmetries and Infrared Effects
• Finite actions and asymptotic charges at null infinity for any spin
• Curvature tensors of higher-spin gauge theories derived from general Lagrangian densities
• Higher spin Lagrangians from higher derivative diffeomorphisms
• Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins