Field Theoretic Realizations for Cubic Supersymmetry

@article{Mohammedi2003FieldTR,
  title={Field Theoretic Realizations for Cubic Supersymmetry},
  author={N. Mohammedi and Gilbert Moultaka and Michel Rausch de Traubenberg},
  journal={International Journal of Modern Physics A},
  year={2003},
  volume={19},
  pages={5585-5608}
}
We consider a four-dimensional space–time symmetry which is a nontrivial extension of the Poincare algebra, different from supersymmetry and not contradicting a priori the well-known no-go theorems. We investigate some field theoretical aspects of this new symmetry and construct invariant actions for noninteracting fermion and noninteracting boson multiplets. In the case of the bosonic multiplet, where two-form fields appear naturally, we find that this symmetry is compatible with a local U(1… 

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