Unifying N=5 and N=6
Journal article, 2011

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.


Chern-Simons Theories

Supersymmetric gauge theory


Jakob Palmkvist

Chalmers, Applied Physics, Mathematical Physics

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2011 5 88

Subject Categories

Physical Sciences



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