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.
Publié le : 2004-12-30
Classification:
Generalization of supersymmetry,
field theory,
algebraic methods,
Lie (super)algebras,
PACS: 03.50.Kk;03.65.Fd; 11.30.Ly,
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00266465,
author = {Moultaka, Gilbert and Mohammedi, N. and Rausch De Traubenberg, M.},
title = {Field Theoretic Realizations for Cubic Supersymmetry},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00266465}
}
Moultaka, Gilbert; Mohammedi, N.; Rausch De Traubenberg, M. Field Theoretic Realizations for Cubic Supersymmetry. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00266465/