The N=2 superconformal gravitino multiplet

Abstract

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