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Gauge symmetry and supersymmetry of multiple M2-branes

Jonathan Bagger, +1 more
- 07 Mar 2008 - 
- Vol. 77, Iss: 6, pp 065008
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TLDR
In this article, a supersymmetric field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product is proposed. But the field is not dynamical.
Abstract
In previous work we proposed a field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product. In this paper we gauge a symmetry that arises from the algebra's triple product. We then construct a supersymmetric theory with no free parameters that is consistent with all the continuous symmetries expected of a multiple M2-brane theory: 16 supersymmetries, conformal invariance, and an SO(8) R-symmetry that acts on the eight transverse scalars. The gauge field is not dynamical. The result is a new type of maximally supersymmetric gauge theory in three dimensions.

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Citations
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Journal ArticleDOI

Realizations of 3-Lie algebras

TL;DR: In this article, a construction of 3-Lie algebras with trace forms is presented, and the structure of the 3-lie algebras constructed from general linear Lie algesbras is studied.
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Relating U( N) × U( N) to SU( N) × SU( N) Chern-Simons membrane theories

TL;DR: In this paper, it was shown that the k = 1 ABJM model for two M2-branes in a M 2-brane is equivalent to the Chern-Simons theory at k = 2, where n and k are coprime.
Journal ArticleDOI

Ternary Virasoro-Witt Algebra

TL;DR: A 3-bracket variant of the Virasoro-Witt algebra is constructed in this article through the use of su ( 1, 1 ) enveloping algebra techniques and the Leibniz rules are discussed and verified in various situations.
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Multiple M2-branes and the Embedding Tensor

TL;DR: The Bagger?Lambert theory of multiple M2-branes fits into the general construction of maximally supersymmetric gauge theories using the embedding tensor technique as mentioned in this paper.
Posted Content

On the massless modes of the AdS3/CFT2 integrable systems

TL;DR: In this article, the massless modes were incorporated into the spin-chain of the AdS3/CFT2 integrable system by considering the alpha to 0 limit of the alternating d(2,1;alpha)^2 spin chain constructed in arXiv:1106.2558.
References
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Journal ArticleDOI

Algebraic structures on parallel M2-branes

Andreas Gustavsson
- 11 Apr 2009 - 
TL;DR: In this article, the authors assume a certain algebraic structure for the low energy theory living on parallel M2 branes, and assume a topological degree-of-freedom field with topological degrees of freedom.
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Modeling multiple M2-branes

TL;DR: In this article, the authors investigate the world volume theory that describes $N$ coincident M2-branes ending on an M5-brane and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution.
Journal ArticleDOI

Superconformal Chern-Simons theories

TL;DR: In this paper, a Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL), which has SO(4) gauge symmetry and contains scalar and spinor fields that transform as 4-vectors.
Journal ArticleDOI

N = 8 Superconformal Chern--Simons Theories

TL;DR: In this paper, the possibilities for constructing Lagrangian descriptions of three-dimensional superconformal classical gauge theories that contain a Chern-Simons term, but no kinetic term, for the gauge fields are explored.
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