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

Abstract

We discuss a generalization of N=6 three-algebras to N=5 three-algebras in connection to anti-Lie triple systems and basic Lie superalgebras of type II. We then show that the structure constants defined in anti-Lie triple systems agree with those of N=5 superconformal theories in three dimensions.

15 pages, v3: typos corrected, references added, and published version

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
• Fractional M2-branes
• On the Lie-algebraic origin of metric 3-algebras
• The Superconformal Gaugings in Three Dimensions
• Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations
• Superconformal M2-branes and generalized Jordan triple systems
• Unifying N=5 and N=6

Cited by in corpus (2)

• Classification of real simple symplectic triple systems
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory