On a Division Algebra Classification of Constrained Generalized Supersymmetries

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In this talk we present a division-algebra classification of the generalized supersymmetries admitting bosonic tensorial central charges. We show that for complex and quaternionic supersymmetries a whole class of compatible division-algebra constraints can be imposed. Possible applications to M-theory related dynamical systems are briefly mentioned.
Invited plenary talk at the IV International Conference on Mathematical Methods in Physics, August 2004, Rio de Janeiro, Brazil. Published in PoS WC2004/047

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