New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2 Multiplet

TL;DR

This paper introduces a new 4D, N=1 superfield model for a massive superspin-3/2 multiplet, detailing its Lagrangian formulation and component fields, including spin-1, spin-2, and spin-3/2 states.

Contribution

It provides the first Lagrangian formulation for a free massive superspin-3/2 superfield with a specific multiplet structure in four dimensions.

Findings

The model includes a real vector superfield and an auxiliary scalar superfield.

The on-shell multiplet contains spin-1, spin-2, and two spin-3/2 fields.

The auxiliary superfield ensures the superfield describes an irreducible representation.

Abstract

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 auxillary 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.