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Title:
Superspace actions for multiple M2-branes, metric 3-algebras, and their classification
Authors:
Cherkis, Sergey A.; Dotsenko, Vladimir; Sämann, Christian
Affiliation:
AA(Hamilton Mathematics Institute and School of Mathematics, Trinity College, Dublin 2, Ireland), AB(Hamilton Mathematics Institute and School of Mathematics, Trinity College, Dublin 2, Ireland), AC(Hamilton Mathematics Institute and School of Mathematics, Trinity College, Dublin 2, Ireland)
Publication:
Physical Review D, vol. 79, Issue 8, id. 086002 (PhRvD Homepage)
Publication Date:
04/2009
Origin:
APS
PACS Keywords:
Conformal field theory, algebraic structures, Lie algebras of Lie groups, Supersymmetric models
Abstract Copyright:
(c) 2009: The American Physical Society
DOI:
10.1103/PhysRevD.79.086002
Bibliographic Code:
2009PhRvD..79h6002C

Abstract

We classify canonical metric 3-algebra structures on matrix algebras and find novel three-dimensional conformally invariant actions in N=4 projective superspace based on them. These can be viewed as Chern-Simons theories with special matter content and couplings. We explore the relations of these actions with the N=2 actions based on generalized 3-Lie algebras found earlier and relate them to the original Bagger-Lambert-Gustavsson action.
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