Octonions, G_2 and generalized Lie 3-algebras
High Energy Physics - Theory
2008-12-03 v2
Abstract
We construct an explicit example of a generalized Lie 3-algebra from the octonions. In combination with the result of arXiv:0807.0808, this gives rise to a three-dimensional N=2 Chern-Simons-matter theory with exceptional gauge group G_2 and with global symmetry SU(4)\times U(1). This gives a possible candidate for the theory on multiple M2-branes with G_2 gauge symmetry.
Cite
@article{arxiv.0809.1650,
title = {Octonions, G_2 and generalized Lie 3-algebras},
author = {Masahito Yamazaki},
journal= {arXiv preprint arXiv:0809.1650},
year = {2008}
}
Comments
14 pages, no figure, v2:minor changes in the body, and references added