Abstract
In this talk we present the result of [1] where we slightly modified prescription of the radial pullback formalism proposed previously by R. Manvelyan, R. Mkrtchyan and W. Ruhl in 2012 [2]. We succeeded to solve all necessary recurrence relations to finalize full radial pullback of the main term of cubic self-interaction for higher spin gauge fields in Fronsdal’s formulation from flat to one dimension less $$Ad{{S}_{{d + 1}}}$$ space. Nontrivial solutions of recurrence relations lead to the possibility to obtain the full set of $$Ad{{S}_{{d + 1}}}$$ dimensional interacting terms with all curvature corrections including trace and divergence terms from any interaction term in $$d + 2$$ dimensional flat space.
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