A note on higher-order vertices of higher-spin fields in flat and (A)dS space

Abstract

In this work we classify homogeneous solutions to the Noether procedure in (A)dS for an arbitrary number of external legs and in general dimensions. We also give a review of the corresponding flat space classification and its relation with the (A)dS result presented here. The role of dimensional dependent identities is also investigated.

arXiv comment27 pages + appendices

References in corpus (49)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Cubic interaction vertices for massive and massless higher spin fields
• String Lessons for Higher-Spin Interactions
• Conformal Higher Spin Theory
• Light-Front Higher-Spin Theories in Flat Space
• On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• General trilinear interaction for arbitrary even higher spin gauge fields
• Effective action in a higher-spin background
• On the uniqueness of higher-spin symmetries in AdS and CFT
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Higher-spin Interactions from CFT: The Complete Cubic Couplings
• Higher-Spin Interactions: four-point functions and beyond
• Higher-Spin Gauge Theories and Bulk Locality
• Towards metric-like higher-spin gauge theories in three dimensions
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Spinning Witten Diagrams
• On the cubic interactions of massive and partially-massless higher spins in (A)dS
• Generating functions of (partially-)massless higher-spin cubic interactions
• Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
• Brane Partons and Singleton Strings
• Cubic interactions of Maxwell-like higher spins
• On four-point interactions in massless higher spin theory in flat space
• Spin three gauge theory revisited
• Higher-Spin Algebras, Holography and Flat Space
• A minimal BV action for Vasiliev's four-dimensional higher spin gravity
• On the Non-Local Obstruction to Interacting Higher Spins in Flat Space
• Higher Spins and Open Strings: Quartic Interactions
• Limiting Shifted Homotopy in Higher-Spin Theory and Spin-Locality
• Off-Shell Spinor-Helicity Amplitudes from Light-Cone Deformation Procedure
• An action principle for Vasiliev's four-dimensional higher-spin gravity
• Solving the Noether procedure for cubic interactions of higher spins in (A)dS
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
• Higher Spins and Matter Interacting in Dimension Three
• Cubic interactions of massless bosonic fields in three dimensions
• Radial Reduction and Cubic Interaction for Higher Spins in (A)dS space
• Pseudo-local Theories: A Functional Class Proposal
• Investigations into Light-front Quartic Interactions for Massless Fields (I): Non-constructibility of Higher Spin Quartic Amplitudes
• Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$
• Vertex-Constraints in 3D Higher Spin Theories
• Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields
• Fronsdal fields from gauge functions in Vasiliev's higher-spin gravity
• Cubic-interaction-induced deformations of higher-spin symmetries
• Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators
• Cubic Interaction for Higher Spins in $Ad{S}_{d+1}$ space in the explicit covariant form
• Frobenius-Chern-Simons gauge theory

Cited by in corpus (5)

• Actions for Self-dual Higher Spin Gravities
• Cubic interactions of d4 irreducible massless higher spin fields within BRST approach
• On interactions of massless spin 3 and scalar fields
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins