Zero Curvature Formalism of the 4D Yang-Mills Theory in Superspace

TL;DR

This paper explores the zero curvature formalism within 4D Yang-Mills theory in superspace, utilizing supersymmetric descent equations and novel operators to decompose covariant derivatives as BRS commutators.

Contribution

It introduces a new formalism for analyzing supersymmetric Yang-Mills theories using zero curvature conditions and operator decompositions in superspace.

Findings

Establishment of supersymmetric descent equations in superspace

Introduction of operators for covariant derivative decomposition

Framework for analyzing supersymmetric gauge theories

Abstract

The supersymmetric descent equations in superspace are discussed by means of the introduction of two operators which allow to decompose the supersymmetric covariant derivatives as BRS commutators.