On Unfolded Approach To Off-Shell Supersymmetric Models

TL;DR

This paper develops an unfolded off-shell formalism for chiral and vector supermultiplets using multispinor techniques, simplifying equations and unifying auxiliary and dynamical fields through auxiliary variables.

Contribution

It introduces a novel unfolded off-shell approach employing multispinor formalism, enabling unified treatment of auxiliary and dynamical fields in supersymmetric models.

Findings

Unification of scalars and auxiliary fields in the Wess-Zumino model.

Simplification of unfolded equations through auxiliary variables.

Formulation of constraints like chirality and current conservation in auxiliary variables.

Abstract

We construct and analyze unfolded off-shell systems for chiral and vector supermultiplets using multispinor formalism and external currents. We find that auxiliary variables of multispinor formalism allow for the interesting reorganization of the unfolded off-shell modules: one can unify dynamical and auxiliary scalars in the Wess-Zumino model, as well as an auxiliary pseudoscalar and a zero-helicity subsector in the vector supermultiplet, so that the resulting unfolded equations get simplified, while various constraints like chirality, electric current conservation and P-oddness of the pseudoscalar can be formulated entirely in terms of these auxiliary variables.