New 4D, N=1 superfield theory:: model of free massive superspin-3/2 multiplet

We present a Lagrangian formulation for the free superspin-3/2 massive 4D, N = 1 superfield. The model is described by a dynamical real vector superfield and an auxiliary real scalar superfield. The corresponding multiplet contains spin-1, spin-2 and two spin-3/2 propagating component fields on-shell. The auxiliary superfield is needed to ensure that the on-shell vector superfield carries only the irreducible representation of the Poincare supergroup with a given mass and the fixed superspin of 3/2. The bosonic sector of the component level of the model is also presented. (C) 2002 Published by Elsevier Science B.V.