Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-09-08
Nucl.Phys.Proc.Suppl. 102 (2001) 270-277
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, LaTex (Elsevier style); to appear in Nucl. Phys. B Proc. Suppl. Contribution to the proceedings of the conference "Su
Scientific paper
10.1016/S0920-5632(01)01566-3
I present here some new results which make explicit the role of the division algebras R,C,H,O in the construction and classification of, respectively, N=1,2,4,8 global supersymmetric quantum mechanical and classical dynamical systems. In particular an N=8 Malcev superaffine algebra is introduced and its relation to the non-associative N=8 SCA is discussed. A list of present and possible future applications is given.
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