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Division Algebras, Extended Supersymmetries and Applications

F. Toppan
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Abstract

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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F. Toppan. 2001-09-08. Division Algebras, Extended Supersymmetries and Applications. https://doi.org/10.1016/s0920-5632(01)01566-3

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