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 >= 3. In the present paper we classify algebraic linearly compact simple N = 6 3-algebras over an algebraically closed fi eld F of characteristic 0, 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.
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 >= 3. In the present paper we classify algebraic linearly compact simple N = 6 3-algebras over an algebraically closed fi eld F of characteristic 0, 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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