Division Algebras and Extended SuperKdVs
High Energy Physics - Theory
2009-11-07 v1
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".
Cite
@article{arxiv.hep-th/0109085,
title = {Division Algebras and Extended SuperKdVs},
author = {F. Toppan},
journal= {arXiv preprint arXiv:hep-th/0109085},
year = {2009}
}
Comments
6 pages, LaTex; Talk given at the XXXVII Karpacz Winter School in Theoretical Physics (February 2001). To appear in the proceedings