Three-Algebras and N=6 Chern-Simons Gauge Theories

Understand

We derive the general form for a three-dimensional scale-invariant field theory with N=6 supersymmetry, SU(4) R-symmetry and a U(1) global symmetry.

• The results can be written in terms of a 3-algebra in which the triple product is not antisymmetric.
• For a specific choice of 3-algebra we obtain the N=6 theories that have been recently proposed as models for M2-branes in an R^8/Z_k orbifold background.