English

Analytic Loops and Gauge Fields

High Energy Physics - Theory 2009-11-07 v1

Abstract

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 R8{\bf R}^8

Keywords

Cite

@article{arxiv.hep-th/0109206,
  title  = {Analytic Loops and Gauge Fields},
  author = {E. K. Loginov},
  journal= {arXiv preprint arXiv:hep-th/0109206},
  year   = {2009}
}

Comments

10 pages, LaTeX, no figures