N<=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 greater than or equal to 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.
N. Cantarini, V.G. Kac (2011). CLASSIFICATION OF LINEARLY COMPACT SIMPLE ALGEBRAIC N = 6 3-ALGEBRAS. TRANSFORMATION GROUPS, 16, 649-671 [10.1007/s00031-011-9143-8].
CLASSIFICATION OF LINEARLY COMPACT SIMPLE ALGEBRAIC N = 6 3-ALGEBRAS.
CANTARINI, NICOLETTA;
2011
Abstract
N<=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 greater than or equal to 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.File in questo prodotto:
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