The $\mathcal{N}=2$ superconformal gravitino multiplet

We propose a new gauge prepotential ${\mathrm{{\rm Y}}}_i$ describing the four-dimensional $\mathcal{N}=2$ superconformal gravitino multiplet. The former naturally arises via a superspace reduction of the $\mathcal{N}=3$ conformal supergravity multiplet. A locally superconformal chiral action for ${\mathrm{{\rm Y}}}_i$, which is gauge-invariant in arbitrary conformally-flat backgrounds, is derived. This construction readily yields a new superprojector, which maps an isospinor superfield ${\mathrm{\Psi }}_i$ to a multiplet characterised by the properties of a conformal supercurrent associated with ${\mathrm{{\rm Y}}}_i$. Our main results are also specialised to $\mathcal{N}=2$ anti-de Sitter superspace.