Off-Shell Scalar Supermultiplet in the Unfolded Dynamics Approach

TL;DR

This paper constructs a manifestly supersymmetric action for the N=1, D=4 scalar supermultiplet using the unfolded dynamics approach, providing a new framework for analyzing supersymmetric functionals.

Contribution

It introduces an off-shell unfolded system for the scalar supermultiplet and formulates the action as a superspace integral of a closed form, advancing the unfolded dynamics methodology.

Findings

Successfully constructs the off-shell unfolded system.

Presents the action as a closed 4-form integral in superspace.

Provides a general tool for supersymmetric functional analysis.

Abstract

We show how manifestly supersymmetric action for Wess-Zumino model can be constructed within the unfolded dynamics approach. The off-shell unfolded system for N = 1, D = 4 scalar supermultiplet is found. The action is presented in the form of integral of a closed 4-form over any (4, 0) surface in superspace as well as a superspace integral of an integral form or a chiral integral form. The proposed method is argued to provide a most general tool for the analysis of manifestly supersymmetric functionals.