An Irreducible Massive Superspin One Half Action Built From the Chiral Dotted Spinor Superfield

TL;DR

This paper constructs a consistent action for a Massive Superspin One Half multiplet using chiral dotted and undotted spinor superfields, employing BRST symmetry to ensure invariance.

Contribution

It introduces a novel method to derive the action for the superspin one half multiplet by combining chiral superfields and BRST invariance, clarifying their interrelations.

Findings

Derived BRST transformations for both superfields.

Established the action as an invariant of BRST transformations.

Revealed the involution exchanging sources and fields.

Abstract

Although the chiral dotted spinor superfield should describe a Massive Superspin One Half multiplet, it has not been obvious how to derive this from an action. In this paper this is done by including a chiral undotted spinor superfield, finding the BRST transformations that govern both of these, and then finding the action as an invariant of the transformations. It turns out that both kinds of spinor superfields are needed. Moreover, the BRST transformations for the two kinds of chiral spinor superfields are generated from each other by a special involution that exchanges Grassmann odd (even) sources with Grassmann even (odd) fields.