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
References in corpus (12)
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Membranes on an Orbifold
- On the moduli space of elliptic Maxwell-Chern-Simons theories
- Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
- Brane Tilings and M2 Branes
- On the Lie-algebraic origin of metric 3-algebras
- Multiple M2-branes and Generalized 3-Lie algebras
- An N=1 Superfield Action for M2 branes
- Quiver Chern-Simons theories and crystals
- A New N=4 Membrane Action via Orbifold