Unifying N=5 and N=6

Details Unifying N=5 and N=6 Unifying N=5 and N=6

2011-03-24

arxiv.org/abs/1103.4860v2

JHEP 1105:088,2011

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. v2: Published version. Minor typos corrected, references added

Scientific paper

10.1007/JHEP05(2011)088

We write the Lagrangian of the general N=5 three-dimensional superconformal Chern-Simons theory, based on a basic Lie superalgebra, in terms of our recently introduced N=5 three-algebras. These include N=6 and N=8 three-algebras as special cases. When we impose an antisymmetry condition on the triple product, the supersymmetry automatically enhances, and the N=5 Lagrangian reduces to that of the well known N=6 theory, including the ABJM and ABJ models.

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