An N=8 superaffine Malcev algebra and its N=8 Sugawara

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 Letter extends to supersymmetry the results obtained by Osipov in the bosonic case.