Octonionic Realizations of 1-dimensional Extended Supersymmetries. A Classification

Details Octonionic Realizations of 1-dimensional Extended Supersymmetries. A Classification Octonionic Realizations of 1-dimensional Extended Supersymmetries. A Classification

2002-12-03

arxiv.org/abs/hep-th/0212030v1

Mod.Phys.Lett. A18 (2003) 787-798

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTex

Scientific paper

10.1142/S0217732303009885

The classification of the octonionic realizations of the one-dimensional extended supersymmetries is here furnished. These are non-associative realizations which, albeit inequivalent, are put in correspondence with a subclass of the already classified associative representations for 1D extended supersymmetries. Examples of dynamical systems invariant under octonionic realizations of the extended supersymmetries are given. We cite among the others the octonionic spinning particles, the N=8 KdV, etc. Possible applications to supersymmetric systems arising from dimensional reduction of the octonionic superstring and M-theory are mentioned.

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