Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations

Abstract

In this work we present 3-algebraic constructions and representations for three-dimensional N = 5 supersymmetric Chern-Simons theories, and show how they relate to theories with additional supersymmetries. The N = 5 structure constants give theories with Sp(2N) \times SO(M) gauge symmetry, as well as more exotic symmetries known from gauged supergravity. We find explicit lifts from N = 6 to 8, and N = 5 to 6 and 8, for appropriate gauge groups.

23 pages. Published version. References corrected

References in corpus (9)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Fractional M2-branes
• On the Lie-algebraic origin of metric 3-algebras
• Multiple M2-branes and the Embedding Tensor
• Multiple Membranes from Gauged Supergravity
• The Superconformal Gaugings in Three Dimensions

Cited by in corpus (7)

• n-ary algebras: a review with applications
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• Degenerations of Filippov algebras
• Supersymmetric solutions from N=6 gauged supergravity
• N=5 three-algebras and 5-graded Lie superalgebras
• Fusion of Superalgebras and D=3, N=4 Quiver Gauge Theories
• Multiple M-branes and 3-algebras