Unfolded Scalar Supermultiplet
D. S. Ponomarev, M. A. Vasiliev

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.
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