Classification of linearly compact simple N=6 3-algebras

Abstract

$N\le 8$ 3-algebras have recently appeared in N-supersymmetric 3-dimensional Chern-Simons gauge theories. In our previous paper we classified linearly compact simple N = 8 n-algebras for any $n\ge 3$. In the present paper we classify linearly compact simple N = 6 3-algebras, using their correspondence with simple linearly compact Lie superalgebras with a consistent short Z-grading, endowed with a graded conjugation. We also briefly discuss N = 5 3-algebras.

19 pages

References in corpus (2)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes

Cited by in corpus (2)

• The tensor hierarchy algebra
• Tensor hierarchies, Borcherds algebras and E11