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Title: Multiple M2-branes and generalized 3-Lie algebras

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 various associated ordinary Lie algebras.

Authors:
;
Publication Date:
OSTI Identifier:
21254221
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.78.066019; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; GAUGE INVARIANCE; LIE GROUPS; QUANTUM FIELD THEORY; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Cherkis, Sergey, and Saemann, Christian. Multiple M2-branes and generalized 3-Lie algebras. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.78.066019.
Cherkis, Sergey, & Saemann, Christian. Multiple M2-branes and generalized 3-Lie algebras. United States. https://doi.org/10.1103/PHYSREVD.78.066019
Cherkis, Sergey, and Saemann, Christian. 2008. "Multiple M2-branes and generalized 3-Lie algebras". United States. https://doi.org/10.1103/PHYSREVD.78.066019.
@article{osti_21254221,
title = {Multiple M2-branes and generalized 3-Lie algebras},
author = {Cherkis, Sergey and Saemann, Christian},
abstractNote = {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 various associated ordinary Lie algebras.},
doi = {10.1103/PHYSREVD.78.066019},
url = {https://www.osti.gov/biblio/21254221}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 78,
place = {United States},
year = {Mon Sep 15 00:00:00 EDT 2008},
month = {Mon Sep 15 00:00:00 EDT 2008}
}