The Off-shell (3/2, 2) Supermultiplets Revisited

TL;DR

This paper classifies (3/2,2) off-shell supermultiplets in superspace, revealing their structure and relation to supergravity actions, including old minimal, new minimal, and a novel supermultiplet.

Contribution

It provides a comprehensive classification of (3/2,2) off-shell supermultiplets using superspace projection operators, including a new supermultiplet with 12+12 degrees of freedom.

Findings

Supermultiplets are realized via a real axial vector superfield.

Any linearized supergravity action is a superposition of known and new supermultiplets.

Introduces a novel (3/2,2) off-shell supermultiplet with 12+12 degrees of freedom.

Abstract

Using superspace projection operators we provide a classification of (3/2,2) off-shell supermultiplets which are realized in terms of a real axial vector superfield, with or without compensating superfields. Any linearized supergravity action is shown to be a superposition of those corresponding to (i) old minimal supergravity, (ii) new minimal supergravity and (iii) the novel (3/2,2) off-shell supermultiplet with 12+12 degrees of freedom obtained in hep-th/0201096.