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We introduce a first order description of linearized non-minimal ($n=-1$)supergravity in superspace, using the unconstrained prepotential superfieldinstead of the conventionally constrained super one forms. In this description,after integrating out the connection-like auxiliary superfield of first-orderformalism, the superspace action is expressed in terms of a single superfieldwhich combines the prepotential and compensator superfields. We use thisdescription to construct the supersymmetric cubic interaction vertex$3/2-3/2-1/2$ which describes the electromagnetic interaction between twonon-minimal supergravity multiplets (superspin $\textsf{Y}=3/2$ which containsa spin 2 and a spin 3/2 particles) and a vector multiplet (superspin$\textsf{Y}=1/2$ contains a spin 1 and a spin 1/2 particles). Exploring thetrivial symmetries emerging between the two $\textsf{Y}=3/2$ supermultiplets,we show that this cubic vertex must depend on the vector multiplet superfieldstrength. This result generalize previous results for non-supersymmetricelectromagnetic interactions of spin 2 particles. The constructed cubicinteraction generates non-trivial deformations of the gauge transformations.

Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity