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

Sergey A. Cherkis, Vladimir Dotsenko, Christian Sämann

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


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.

Original languageEnglish (US)
Article number086002
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8
StatePublished - Apr 1 2009

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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