Octonions, G_2 and generalized Lie 3-algebras

Details Octonions, G_2 and generalized Lie 3-algebras Octonions, G_2 and generalized Lie 3-algebras

2008-09-10

arxiv.org/abs/0809.1650v2

Phys.Lett.B670:215-219,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figure, v2:minor changes in the body, and references added

Scientific paper

10.1016/j.physletb.2008.11.001

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.

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