2006/09/30 by I. L. Buchbinder, A. Fotopoulos, Angelos Fotopoulos +4 · 3 citations
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Combinatorics #Formalism (music) #Gauge symmetry #Gauge theory #Graph #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spin (aerodynamics) #Theoretical physics #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1103/physrevd.74.105018
published as Phys.Rev.D74:105018,2006 · Published Version; comments added in introduction; minor typos and references corrected
openalex publication_date 2006/11/21 · arxiv created 2006/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a method of construction of a cubic interaction in massless higher spin gauge theory both in flat and in AdS space-times of arbitrary dimensions. We consider a triplet formulation of the higher spin gauge theory and generalize the higher spin symmetry algebra of the free model to the corresponding algebra for the case of cubic interaction. The generators of this new algebra carry indexes which label the three higher spin fields involved into the cubic interaction. The method is based on the use of oscillator formalism and on the Becchi-Rouet-Stora-Tyutin (BRST) technique. We derive general conditions on the form of cubic interaction vertex and discuss the ambiguities of the vertex which result from field redefinitions. This method can in principle be applied for constructing the higher spin interaction vertex at any order. Our results are a first step towards the construction of a Lagrangian for interacting higher spin gauge fields that can be holographically studied.