Unifying N=5 and N=6

Abstract

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.

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

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Fractional M2-branes
• On the Lie-algebraic origin of metric 3-algebras
• The Superconformal Gaugings in Three Dimensions
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• Superconformal M2-branes and generalized Jordan triple systems

Cited by in corpus (1)

• N=5 three-algebras and 5-graded Lie superalgebras