Revisiting the Abelian $N=1$ super Stueckelberg model
M. A. L. Capri, D. R. Granado, I. F. Justo, L. S. S. Mendes

TL;DR
This paper revisits the Abelian super Stueckelberg model in the Wess--Zumino gauge, deriving its SUSY transformations and exploring extensions with infinite self-interactions.
Contribution
It provides a detailed derivation of the SUSY transformations in the ASSM and discusses potential extensions with infinite self-interacting terms.
Findings
SUSY transformation compensates gauge fixing in ASSM
Mixing of field components in SUSY transformations
Potential for extending ASSM with infinite interactions
Abstract
The Abelian super Stueckelberg model (ASSM) in the Wess--Zumino (WZ) gauge is revisited, and the actual set of supersymmetric (SUSY) transformation is derived. In particular, we verified that the SUSY transformation of the super Stueckelberg sector compensates the gauge fixing condition imposed on the vector superfield, leading to a mix between the field components of both sectors. We also discuss the possibility to construct an extension of the ASSM with infinite self interacting terms.
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