Comments on the Bagger-Lambert theory and multiple M2-branes
arXiv:0803.3803 · doi:10.1088/1126-6708/2008/05/105
Abstract
We study the SO(8) superconformal theory proposed recently by Bagger and Lambert as a possible worldvolume theory for multiple M2-branes. For their explicit example with gauge group SO(4), we rewrite the theory (originally formulated in terms of a three-algebra) as an ordinary SU(2) \times SU(2) gauge theory with bifundamental matter. In this description, the parity invariance of the theory, required for a proper description of M2-branes, is clarified. We describe the subspace of scalar field configurations on which the potential vanishes, and note that this does not coincide with the moduli space for a stack of M2-branes. Finally, we point out a difficulty in constructing the required set of superconformal primary operators which should be present in the correct theory describing multiple M2-branes.
9 pages, LaTeX; v2: references and comments about Chern-Simons level added, v3: typo corrected, comments on moduli space clarified
References in corpus (7)
Cited by in corpus (56)
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- On 3d N=8 Lorentzian BLG theory as a scaling limit of 3d superconformal N=6 ABJM theory
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- Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
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- Abelian Vortex in Bagger-Lambert-Gustavsson Theory
- Strong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple M2-branes
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- A note on interpreting N M2 branes
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- M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing
- Membrane scattering from Bagger-Lambert theory
- 3d CFT and Multi M2-brane Theory on RxS^2
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