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Revisiting the Abelian $N=1$ super Stueckelberg model

M. A. L. Capri, D. R. Granado, I. F. Justo, L. S. S. Mendes

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.

Revisiting the Abelian $N=1$ super Stueckelberg model

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.

Paper Structure

This paper contains 11 sections, 72 equations.

Table of Contents

  1. Introduction
  2. The super Abelian Stueckelberg-like model
  3. The model in superspace
  4. The model in Minkowski spacetime
  5. Gauge invariance
  6. SUSY invariance
  7. The Wess-Zumino gauge
  8. The actual set of supersymmetry transformation
  9. Conclusion
  10. Notation and conventions on $N=1$ supersymmetry
  11. An action free from compensating fields