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.
CLASSIFICATION OF LINEARLY COMPACT SIMPLE ALGEBRAIC N = 6 3-ALGEBRAS / N. Cantarini; V.G. Kac. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - STAMPA. - 16:(2011), pp. 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
