On a Division Algebra Classification of Constrained Generalized Supersymmetries

Abstract

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

References in corpus (6)

• Introduction to the Classical Theory of Higher Spins
• Tensorial Central Charges and New Superparticle Models with Fundamental Spinor Coordinates
• Spinor Algebras
• Poincare invariant gravity with local supersymmetry as a gauge theory for the M-algebra
• Superparticles, p-Form Coordinates and the BPS Condition
• The symmetry algebras of Euclidean M-theory