Unfolded Scalar Supermultiplet

TL;DR

This paper presents unfolded equations for the N=1, D=4 scalar supermultiplet, demonstrating how superspace formulation arises and extending ohomology techniques to analyze supersymmetric unfolded equations.

Contribution

It introduces a novel unfolded formulation for scalar supermultiplets and extends ohomology methods to handle multiple operators in supersymmetric contexts.

Findings

Unfolded equations for scalar supermultiplet are derived.

Superspace formulation is shown to emerge from unfolded equations.

Extended ohomology techniques facilitate analysis of supersymmetric equations.

Abstract

Unfolded equations of motion for N = 1, D = 4 scalar supermultiplet are presented. We show how the superspace formulation emerges from the unfolded formulation. To analyze supersymmetric unfolded equations we extend the \sigma_-cohomology technics to the case with several operators \sigma_. The role of higher \sigma_-cohomology in the derivation of constraints is emphasized and illustrated by the example of scalar supermultiplet.