Division Algebras and Extended SuperKdVs

Details Division Algebras and Extended SuperKdVs Division Algebras and Extended SuperKdVs

2001-09-11

arxiv.org/abs/hep-th/0109085v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTex; Talk given at the XXXVII Karpacz Winter School in Theoretical Physics (February 2001). To appear in the procee

Scientific paper

10.1063/1.1419347

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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