On Interacting Higher-Spin Bosonic Gauge Fields In The Brst-Antifield Formalism

Makoto Sakaguchi, Haruya Suzuki

Progress of Theoretical and Experimental Physics(2021)

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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.
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Conformal Symmetry
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