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arXiv · hep-th/0305172

Field Theoretic Realizations for Cubic Supersymmetry

N. Mohammedi·G. Moultaka·M. Rausch de Traubenberg
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Abstract

We consider a four dimensional space-time symmetry which is a non trivial extension of the Poincaré algebra, different from supersymmetry and not contradicting {\sl a priori} the well-known no-go theorems. We investigate some field theoretical aspects of this new symmetry and construct invariant actions for non-interacting fermion and non-interacting 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) gauge symmetry, only when the latter is gauge fixed by a `t Hooft-Feynman term.

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N. Mohammedi, G. Moultaka, M. Rausch de Traubenberg. 2003-07-31. Field Theoretic Realizations for Cubic Supersymmetry. https://doi.org/10.1142/s0217751x04019913

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