Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets

TL;DR

This paper introduces a novel first-order formalism for describing free massless supermultiplets of arbitrary superspin, relaxing certain constraints and employing auxiliary superfields to ensure gauge invariance.

Contribution

It presents a new first-order approach for massless superspin supermultiplets, incorporating auxiliary superfields to restore gauge invariance and simplify the action construction.

Findings

Constructed first and half order invariant quantities.

Developed a new local symmetry using auxiliary superfields.

Provided a trivially invariant action formulation.

Abstract

A new description of free massless superfields of arbitrary superspin $Y$ ($Y>1/2$) is proposed. Following the first-order philosophy, we relax some of the properties (reality, gauge redundancy) of the unconstrained higher spin prepotentials and we construct first and half order invariants quantities. These are used to write trivially invariant actions. Additional auxiliary superfields that play the role of spin connections are used to enforce a new local symmetry that restores the degrees of freedom.