Three-Algebras and N=6 Chern-Simons Gauge Theories
Jonathan Bagger, Neil Lambert
TL;DR
This paper develops a general framework for N=6 supersymmetric Chern-Simons theories in three dimensions using 3-algebras with non-antisymmetric triple products, connecting to M2-brane models.
Contribution
It introduces a new class of 3-algebras with non-antisymmetric triple products to describe N=6 supersymmetric theories, generalizing previous models.
Findings
Derived the general form of N=6 scale-invariant theories
Connected specific 3-algebras to M2-brane models in orbifold backgrounds
Provided a new algebraic structure for supersymmetric gauge theories
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.
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