On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification
arXiv:0812.3127 · doi:10.1103/PhysRevD.79.086002
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.
1+18 pages, replaced with published version
References in corpus (10)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- M2-branes, 3-Lie Algebras and Plucker relations
- On the Lie-algebraic origin of metric 3-algebras
- Multiple M2-branes and Generalized 3-Lie algebras
- On superconformal projective hypermultiplets
- Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory
- A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory