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

arXiv:0807.0163 · doi:10.1103/PhysRevD.79.025002

Abstract

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.

19 pages. Typos corrected