TY - JOUR
T1 - Superspace actions for multiple M2-branes, metric 3-algebras, and their classification
AU - Cherkis, Sergey A.
AU - Dotsenko, Vladimir
AU - Sämann, Christian
PY - 2009/4/1
Y1 - 2009/4/1
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevD.79.086002
DO - 10.1103/PhysRevD.79.086002
M3 - Article
AN - SCOPUS:65649117883
SN - 1550-7998
VL - 79
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 8
M1 - 086002
ER -