A multispinor supersymmetric Lagrangian and spin 3/2 particle

Abstract

A new multispinor superfield of second rank is constructed which satisfies the Bargmann-Wigner (1946) equation and describes particles of spin ranging from 1/2 to 3/2. A supersymmetric Lagrangian is written with the help of an auxiliary superfield which vanishes in the absence of interaction. The resulting Green function for the spin 3/2 multispinor is the same as that obtained by Guralnik and Kibble (1965) and Chang (1967). Finally an interaction with a scalar superfield is studied in perturbation theory and shown to be non-renormalizable.