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ID: 430671.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Three-algebras, triple systems and 3-graded Lie superalgebras
Authors:Palmkvist, Jakob
Review Status:not specified
Audience:Not Specified
Abstract / Description:The three-algebras used by Bagger and Lambert in N=6 theories of ABJM type are in one-to-one correspondence with a certain type of Lie superalgebras. We show that the description of three-algebras as generalized Jordan triple systems naturally leads to this correspondence. Furthermore, we show that simple three-algebras correspond to simple Lie superalgebras, and vice versa. This gives a classification of simple three-algebras from the well known classification of simple Lie superalgebras.
External Publication Status:unpublished
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0905.2468
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