Division algebras and extended superKdVs Available to Purchase

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.”