On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification

Vladimir Dotsenko; Christian Saemann; Sergey Cherkis

doi:10.1103/PhysRevD.79.086002

On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification

Vladimir Dotsenko, Christian Saemann, Sergey Cherkis

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

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.

Original language	English
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	79
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.79.086002
Publication status	Published - 16 Dec 2008

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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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On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification

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