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Other ORP type . 2020
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Lie 3−algebra and super-affinization of split-octonions

appsOther research productkeyboard_double_arrow_right Other ORP type 07 Dec 2020 English Publisher:World Scientific Publishing
Authors: Giardino, Sérgio; Salazar, Hector Leny Carrion;

Lie 3−algebra and super-affinization of split-octonions

Abstract

The purpose of this study is to extend the concept of a generalized Lie 3− algebra, known to the divisional algebra of the octonions O, to split-octonions SO, which is non-divisional. This is achieved through the unification of the product of both of the algebras in a single operation. Accordingly, a notational device is introduced to unify the product of both algebras. We verify that SO is a Malcev algebra and we recalculate known relations for the structure constants in terms of the introduced structure tensor. Finally we construct the manifestly super-symmetric N = 1 SO affine super-algebra. An application of the split Lie 3−algebra for a Bagger and Lambert gauge theory is also discussed

Keywords

Lie algebra, Octonion, Gauge field theory

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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