Towards the structure of a cubic interaction vertex for massless integer higher spin fields

Abstract

The structure of a cubic Lagrangian vertex is clarified for irreducible fields of helicities $s_1,s_2,s_3$ in a $d$-dimensional Minkowski space. An explicit form of the operator ${\mathcal{Z}}_j$ entering the vertex in a non-multiplicative way (examined in arXiv:2105.12030[hep-th] for $j=1$) is obtained. The solution is found within the BRST approach with complete BRST operators, which contain all constraints corresponding to the conditions that extract the irreducible fields, including trace operators.

Latex Pepan style, 11 pages

References in corpus (5)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• A generating function for the cubic interactions of higher spin fields
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Cubic interaction vertices for massless higher spin supermultiplets in d=4

Cited by in corpus (5)

• Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
• BRST-BV approach for interacting higher spin fields
• 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
• Towards Lagrangian dynamics for constrained mixed-symmetric interacting higher-spin fields