Conformal Interactions Between Matter and Higher‐Spin (Super)Fields

In even spacetime dimensions, the interacting bosonic conformal higher-spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is model $\mathcal{S}[\varphi,h]$ describing a complex scalar field $\varphi$ coupled to infinite set of background CHS fields $h$, with possessing non-abelian gauge symmetry. Two characteristic features perturbative constructions $\mathcal{S}[\varphi , h]$ given literature are: (i) flat; and (ii) invariance not manifest. present paper we provide new derivation action four dimensions such that defined on arbitrary conformally-flat background; symmetry manifestly realised. Next, our results are extended $\mathcal{N}=1$ supersymmetric case. Specifically, construct, for first time, $\mathcal{S}[\Phi, H]$ scalar/chiral multiplet $\Phi$ superfields $H$. Our possesses which naturally generalises linearised transformations half-integer superspin multiplets. other fundamental superspace superconformal Making use H]$,