An N=8 Superaffine Malcev Algebra and Its N=8 Sugawara

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTex

Scientific paper

10.1016/S0375-9601(01)00709-5

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.

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