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A nontrivial conformally invariant model is obtained via generalization themethod of obtaining conformally invariant models in $2D$ Euclidean space to theEuclidean space with dimension $D>2$. This method was previously developed byE.S. Fradkin and M.Ya. Palchik (see [7] and reference therein). The partialwave expansion of a four-point function $\langlej_{\mu}(x_{1})j_{\nu}(x_{2})\varphi(x_{3})\varphi(x_{4})\rangle$ containing twoconserved vector fields $j_{\mu}$ and two scalars $\varphi$ of dimension $ d $in a $D$ -dimensional Euclidean space is considered. The requirement of theabsence the vector operator of the dimension $d + 1$ in this expansion allowsus to find the relationship between all the coupling constants in such a model.

Secondary fields and partial wave expansion. Self consistency conditions in a conformal model