Octonions, G_2 and generalized Lie 3-algebras
arXiv:0809.1650 · doi:10.1016/j.physletb.2008.11.001
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.
14 pages, no figure, v2:minor changes in the body, and references added
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Cited by in corpus (12)
- n-ary algebras: a review with applications
- On the Lie-algebraic origin of metric 3-algebras
- Freudenthal Gauge Theory
- Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
- M2-brane Flows and the Chern-Simons Level
- A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
- Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
- A non-associative quaternion scalar field theory
- Deformations and cohomologies of embedding tensors on 3-Lie algebras
- Lie algebra and super-affinization of split-octonions
- Nonassociatuve generalization of supersymmetry
- Metric 3-Leibniz algebras and M2-branes