Superspace actions for multiple M2-branes, metric 3-algebras, and their classification

Journal Article · Wed Apr 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.086002· OSTI ID:21308361

Cherkis, Sergey A; Dotsenko, Vladimir; Saemann, Christian ^[1]

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1. Hamilton Mathematics Institute and School of Mathematics, Trinity College, Dublin 2 (Ireland)

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.

• OSTI ID: 21308361
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BRANES
CLASSIFICATION
COUPLING
LIE GROUPS
MATTER
METRICS
THREE-DIMENSIONAL CALCULATIONS