Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-09-12
Phys.Rev.D74:105018,2006
Physics
High Energy Physics
High Energy Physics - Theory
Published Version; comments added in introduction; minor typos and references corrected
Scientific paper
10.1103/PhysRevD.74.105018
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.
Buchbinder Ioseph L.
Fotopoulos Angelos
Petkou Anastasios C.
Tsulaia Mirian
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