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arXiv · 0807.0808

Multiple M2-branes and Generalized 3-Lie algebras

Sergey Cherkis·Christian Saemann
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Abstract

We propose a generalization of the Bagger-Lambert-Gustavsson action as a candidate for the description of an arbitrary number of M2-branes. The action is formulated in terms of N=2 superfields in three dimensions and corresponds to an extension of the usual superfield formulation of Chern-Simons matter theories. Demanding gauge invariance of the resulting theory does not imply the total antisymmetry of the underlying 3-Lie algebra structure constants. We relax this condition and propose a class of examples for these generalized 3-Lie algebras. We also discuss how to associate various ordinary Lie algebras.

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Sergey Cherkis, Christian Saemann. 2008-09-28. Multiple M2-branes and Generalized 3-Lie algebras. https://doi.org/10.1103/physrevd.78.066019

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