An N=8 Superaffine Malcev Algebra and Its N=8 Sugawara
H.L. Carrion, M. Rojas, F. Toppan (CBPF)
TL;DR
This paper introduces a supersymmetric extension of the octonion algebra, demonstrating its super-Malcev property and connecting it to known non-associative superalgebras through a Sugawara construction.
Contribution
It presents the first supersymmetric affinization of octonions satisfying super-Malcev properties and links it to established non-associative superalgebras via a novel Sugawara approach.
Findings
The algebra satisfies a super-Malcev property.
Sugawara construction recovers known non-associative superalgebra.
Extension of bosonic results to supersymmetry.
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.
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