Free massless bosonic fields of arbitrary spins s>1, corresponding to symmetric representations of SO(d−2) compact subgroup of the d-dimensional massless flat little group, are described in d-dimensional (anti-) de Sitter space in terms of differential forms. The formulation proposed is a generalization to arbitrary d≥4 of that suggested previously in the four dimensional case, which served in Refs. 1 and 2 as a starting point for introducing consistent gravitational interaction for all massless higher spin fields in d=4.
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LOPATIN et al. (1988) studied this question.