Classification of linearly compact simple N=6 3-algebras

Details Classification of linearly compact simple N=6 3-algebras Classification of linearly compact simple N=6 3-algebras

2010-10-18

arxiv.org/abs/1010.3599v2

Mathematics

Quantum Algebra

19 pages

Scientific paper

$N\leq 8$ 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 $n \geq 3$. 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.

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