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 (12)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Comments on Multiple M2-branes
• Fractional M2-branes
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• On the Lie-algebraic origin of metric 3-algebras
• The Superconformal Gaugings in Three Dimensions
• Symplectic Three-Algebra Unifying N=5,6 Superconformal Chern-Simons-Matter Theories
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• Superconformal M2-branes and generalized Jordan triple systems
• A realization of the Lie algebra associated to a Kantor triple system

Cited by in corpus (10)

• Multiple Membranes in M-theory
• The tensor hierarchy algebra
• Tensor hierarchies, Borcherds algebras and E11
• M-Theory and Maximally Supersymmetric Gauge Theories
• N=5 three-algebras and 5-graded Lie superalgebras
• Extension of IIB Matrix Model by Three-Algebra
• Four-algebraic extension of the IIB matrix model
• OSp(5|4) Superconformal Symmetry of N=5 Chern-Simons Theory
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
• OSp(4|4) superconformal currents in three-dimensional N=4 Chern-Simons quiver gauge theories