An N=8 Superaffine Malcev Algebra and Its N=8 Sugawara
arXiv:hep-th/0105313 · doi:10.1016/S0375-9601(01)00709-5
Abstract
A supersymmetric affinization of the algebra of octonions is introduced. It satisfies a super-Malcev property and is N=8 supersymmetric. Its Sugawara construction recovers, in a special limit, the non-associative N=8 superalgebra of Englert et al. This paper extends to supersymmetry the results obtained by Osipov in the bosonic case.
10 pages, LaTex