Abstract
Abstract We examine interacting bosonic higher-spin gauge fields in the BRST-antifield formalism. Assuming that an interacting action $S$ is a deformation of the free action with a deformation parameter $g$, we solve the master equation $(S,S)=0$ from the lower orders in $g$. It is shown that, choosing a certain cubic interaction as the first-order deformation, we can solve the master equation and obtain an action containing all orders in $g$. The antighost number of the action obtained is less than or equal to two. Furthermore, we show that the action obtained is lifted to that of interacting bosonic higher-spin gauge fields on anti-de Sitter spaces.
Highlights
Higher spin gauge theories have been studied since the 1930s from various viewpoints
We will employ the Fronsdal tensor [9] as a building block, and look for vertices on anti-de Sitter (AdS) spaces
We explain the notations used in this paper and present the free action in the BRST-antifield formalism
Summary
Higher spin gauge theories have been studied since the 1930s from various viewpoints. In this paper we will construct actions of interacting bosonic higher-spin gauge fields on D-dimensional spacetimes in the BRST-antifield formalism. We will first construct actions on a flat spacetime using this method, and lift them to those on AdS spaces For this we will use the Fronsdal tensor as a building block. We will write down actions of interacting bosonic higher-spin gauge fields on AdS spaces from those on a flat spacetime. In appendix A, we explain how a Γ-exact term results in a BRST-exact term
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