On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification

Details On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification

2008-12-16

arxiv.org/abs/0812.3127v2

Phys.Rev.D79:086002,2009

Physics

High Energy Physics

High Energy Physics - Theory

1+18 pages, replaced with published version

Scientific paper

10.1103/PhysRevD.79.086002

We classify canonical metric 3-algebra structures on matrix algebras and find novel three-dimensional conformally invariant actions in N=4 projective superspace based on them. These can be viewed as Chern-Simons theories with special matter content and couplings. We explore the relations of these actions with the N=2 actions based on generalized 3-Lie algebras found earlier and relate them to the original Bagger-Lambert-Gustavsson action.

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