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arXiv · 0812.3127

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

Sergey A. Cherkis·Vladimir Dotsenko·Christian Saemann
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Abstract

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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Sergey A. Cherkis, Vladimir Dotsenko, Christian Saemann. 2009-04-07. On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification. https://doi.org/10.1103/physrevd.79.086002

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