Division Algebras and Extended SuperKdVs
arXiv:hep-th/0109085 · doi:10.1063/1.1419347
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".
6 pages, LaTex; Talk given at the XXXVII Karpacz Winter School in Theoretical Physics (February 2001). To appear in the proceedings