This paper by J. Wess and B. Zumino explores the concept of supergauge transformations in four-dimensional space-time, extending the two-dimensional formulation studied previously. The authors define supergauge transformations, which transform scalar and tensor fields into spinor and boson fields, respectively, using anti-commuting spinor parameters. They show that the commutator of two infinitesimal supergauge transformations generates a combination of conformal and γ5 transformations. The paper describes various multiplets of fields and their representations, and provides examples of how these representations can be combined to form new representations. The relevance of supergauge transformations for Lagrangian field theory is discussed, and the abstract group-theoretic structure of the transformations is analyzed. The authors also present two Lagrangian examples that are invariant under supergauge transformations, demonstrating that such Lagrangians can belong to different representations. Finally, the paper abstracts the algebraic structure of the transformations, showing that it satisfies the Jacobi identity, and discusses the potential applications of supergauge transformations in theories with massless particles or in the approximation where mass can be neglected.This paper by J. Wess and B. Zumino explores the concept of supergauge transformations in four-dimensional space-time, extending the two-dimensional formulation studied previously. The authors define supergauge transformations, which transform scalar and tensor fields into spinor and boson fields, respectively, using anti-commuting spinor parameters. They show that the commutator of two infinitesimal supergauge transformations generates a combination of conformal and γ5 transformations. The paper describes various multiplets of fields and their representations, and provides examples of how these representations can be combined to form new representations. The relevance of supergauge transformations for Lagrangian field theory is discussed, and the abstract group-theoretic structure of the transformations is analyzed. The authors also present two Lagrangian examples that are invariant under supergauge transformations, demonstrating that such Lagrangians can belong to different representations. Finally, the paper abstracts the algebraic structure of the transformations, showing that it satisfies the Jacobi identity, and discusses the potential applications of supergauge transformations in theories with massless particles or in the approximation where mass can be neglected.