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

Sergey A. Cherkis; Vladimir Dotsenko; Christian Sämann

doi:10.1103/PhysRevD.79.086002

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

Sergey A. Cherkis
, Vladimir Dotsenko
, Christian Sämann

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

23 Scopus citations

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 (US)
Article number	086002
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	79
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.79.086002
State	Published - Apr 1 2009
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.79.086002

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

Abstract

ASJC Scopus subject areas

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