Division Algebras and Extended SuperKdVs
classification
✦ hep-th
keywords
algebrasdivisionadmitalgebraanalyzebracketconstructequation
read the original abstract
The division algebras R, C, H, O are used to construct and analyze the N=1,2,4,8 supersymmetric extensions of the KdV hamiltonian equation. In particular a global N=8 super-KdV system is introduced and shown to admit a Poisson bracket structure given by the "Non-Associative N=8 Superconformal Algebra".
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