This paper by J. Wess and R. Zumino explores a Lagrangian model that is invariant under supergauge transformations, involving scalar, pseudoscalar, and spinor fields. The authors discuss the algebra generated by supergauge transformations, which includes conformal and γ5 transformations, and show that only theories with massless particles can be invariant under these transformations. To remove this limitation, they restrict the invariance to a subalgebra generated by supergauges with constant parameters, which simplifies the algebra and removes the need for conformal and scale transformations. The model's Lagrangian is constructed using a free Lagrangian and two invariants, leading to relations among the masses and couplings of the fields. These relations are preserved by renormalization, and the theory is found to be less divergent when these relations are satisfied. The renormalization procedure is detailed, showing that only a logarithmically divergent wave function renormalization is needed for all fields. The vector-spinor current is shown to be conserved, and the Ward identities are expected to hold in perturbation theory. The paper concludes with suggestions for further research, including higher-order corrections and the construction of more complex models invariant under a combination of supergauge and internal symmetries.This paper by J. Wess and R. Zumino explores a Lagrangian model that is invariant under supergauge transformations, involving scalar, pseudoscalar, and spinor fields. The authors discuss the algebra generated by supergauge transformations, which includes conformal and γ5 transformations, and show that only theories with massless particles can be invariant under these transformations. To remove this limitation, they restrict the invariance to a subalgebra generated by supergauges with constant parameters, which simplifies the algebra and removes the need for conformal and scale transformations. The model's Lagrangian is constructed using a free Lagrangian and two invariants, leading to relations among the masses and couplings of the fields. These relations are preserved by renormalization, and the theory is found to be less divergent when these relations are satisfied. The renormalization procedure is detailed, showing that only a logarithmically divergent wave function renormalization is needed for all fields. The vector-spinor current is shown to be conserved, and the Ward identities are expected to hold in perturbation theory. The paper concludes with suggestions for further research, including higher-order corrections and the construction of more complex models invariant under a combination of supergauge and internal symmetries.