Field Theoretic Realizations for Cubic Supersymmetry Auteur(s): Moultaka G., Mohammedi N., Rausch de traubenberg M. (Article) Publié: International Journal Of Modern Physics A, vol. 19 p.5585-5608 (2004) Texte intégral en Openaccess : Ref HAL: hal-00266465_v1 Ref Arxiv: hep-th/0305172 DOI: 10.1142/S0217751X04019913 WoS: 000226729200003 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 21 Citations Résumé: We consider a four dimensional space-time symmetry which is a non trivial extension of the Poincar\'e 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. |