Field Theoretic Realizations for Cubic Supersymmetry

Gilbert Moultaka; N. Mohammedi; M. Rausch De Traubenberg

hal-00266465, version 1

Field Theoretic Realizations for Cubic Supersymmetry

Gilbert Moultaka ( Author to contact preferably ) ¹, N. Mohammedi ², M. Rausch De Traubenberg ³

International Journal of Modern Physics A 19, 32 (2004) 5585-5608

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.

1: Laboratoire de Physique Mathématique et Théorique (PMT)
CNRS : UMR5825 – Université Montpellier II - Sciences et techniques
2: Laboratoire de Mathématiques et Physique Théorique (LMPT)
CNRS : UMR6083 – Université François Rabelais - Tours
3: Laboratoire de Physique Théorique (LPTH)
CNRS : UMR7085 – Université Louis Pasteur - Strasbourg I

hal-00266465, version 1
http://hal.archives-ouvertes.fr/hal-00266465
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From: Logiciel Aigle <>
Submitted for: Gilbert MOULTAKA <>
Submitted on: Saturday, 22 March 2008 22:05:59
Updated on: Tuesday, 17 March 2009 18:22:45

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arXiv: hep-th/0305172

DOI: 10.1142/S0217751X04019913

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