On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background

Abstract

We consider in detail the structure of quartic vertices for massless higher spin fields on Minkowski background, and study the consistency conditions imposed on cubic and quartic interactions by symmetries of the S--matrix. We discuss the possibility of generalizing the construction of quartic vertices to D-dimensional anti-de Sitter space.

29 pages. Introduction part considerably reduced. Comments, a note and a reference added, typos corrected. Published version

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• Gravitational Interactions of Higher-Spin Fermions
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• One-loop Finiteness of Chiral Higher Spin Gravity
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• BRST-BV approach to continuous-spin field
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• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
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• General Cubic Interacting Vertex for Massless Integer Higher Spin Fields
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• A Riccati type PDE for light-front higher helicity vertices
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
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• Higher Spin Gravities and Presymplectic AKSZ Models
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• Note on Gauge Invariance and Causal Propagation
• Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
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• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
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• Conformal totally symmetric arbitrary spin fermionic fields
• Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
• BRST-BV approach to massless fields adapted to AdS/CFT correspondence
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
• Higher Spin Holography and AdS String Sigma-Model
• Quintic vertices of spin 3, vector and scalar fields
• Scattering amplitudes as multi-particle higher-spin charges in the correspondence space
• Higher Spin Contributions to Holographic Fluid Dynamics in $Ad{S}_5/CF{T}_4$
• Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants
• Covariant Lagrangian Cubic Interaction Vertices For Irreducible Higher Spin Fields in Minkowski Backgrounds
• Chiral Higher Spin Gravity in (A)dS${}_4$ and secrets of Chern-Simons Matter Theories
• On gauge-invariant deformation of reducible gauge theories
• Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins