General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

Abstract

We consider a massless higher spin field theory within the BRST approach and construct a general off-shell cubic vertex corresponding to irreducible higher spin fields of helicities $s_1,s_2,s_3$. Unlike the previous works on cubic vertices, which do not take into account of the trace constraints, we use the complete BRST operator, including the trace constraints that describe an irreducible representation with definite integer helicity. As a result, we generalize the cubic vertex found in [arXiv:1205.3131 [hep-th]] and calculate the new contributions to the vertex, which contain additional terms with a smaller number space-time derivatives of the fields as well as the terms without derivatives.

13 pages, minor misprints in formulae (40) corrected

References in corpus (6)

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• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
• Consistent Lagrangians for irreducible interacting higher-spin fields with holonomic constraints
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• Higher-Spin Gauge Models in the BRST-antifield Formalism
• On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
• Covariant Lagrangian Cubic Interaction Vertices For Irreducible Higher Spin Fields in Minkowski Backgrounds
• Hamiltonian and Lagrangian BRST quantization in Riemann Manifold II
• Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants
• Generalized canonical approach to deformation problem in gauge theories
• Towards Lagrangian dynamics for constrained mixed-symmetric interacting higher-spin fields