Analytic Loops and Gauge Fields

Details Analytic Loops and Gauge Fields Analytic Loops and Gauge Fields

2001-09-27

arxiv.org/abs/hep-th/0109206v1

Nucl.Phys. B606 (2001) 636-646

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX, no figures

Scientific paper

10.1016/S0550-3213(01)00218-8

In this paper the linear representations of analytic Moufang loops are
investigated. We prove that every representation of semisimple analytic Moufang
loop is completely reducible and find all nonassociative irreducible
representations. We show that such representations are closely associated with
the (anti-)self-dual Yang-Mills equations in ${\bf R}^8$

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