Classification of linearly compact simple algebraic N = 6 3-algebras
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Author(s)
Cantarini, Nicoletta
Kac, Victor
Date Issued
May 2011
Journal
Transformation Groups
Publisher
Springer-Verlag
Citation
Cantarini, Nicoletta and Victor G. Kac. “Classification of Linearly Compact Simple Algebraic N = 6 3-Algebras.” Transformation Groups 16, 3 (May 2011): 649–671 © 2011 Birkhäuser Boston
Version
Original manuscript
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 field 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 briey discuss N = 5 3-algebras.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00031-011-9143-8
