Field Theoretic Realizations for Cubic Supersymmetry

Details Field Theoretic Realizations for Cubic Supersymmetry Field Theoretic Realizations for Cubic Supersymmetry

2003-05-20

arxiv.org/abs/hep-th/0305172v2

Int.J.Mod.Phys.A19:5585-5608,2004

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 25 pages use macro amsmath and amsfonts.Section 5 slightly extended, some references corrected

Scientific paper

10.1142/S0217751X04019913

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.

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