English

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

High Energy Physics - Theory 2009-04-07 v2

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.

Keywords

Cite

@article{arxiv.0812.3127,
  title  = {On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification},
  author = {Sergey A. Cherkis and Vladimir Dotsenko and Christian Saemann},
  journal= {arXiv preprint arXiv:0812.3127},
  year   = {2009}
}

Comments

1+18 pages, replaced with published version