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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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Topologically gauged superconformal Chern-Simons matter theories

TL;DR: By coupling N = 8 superconformal matter to 8 superconsformal Chern-Simons gravity in three dimensions, this article obtained theories with novel terms in the scalar po-tential leading to AdS3 solutions and supercon conformal symmetry breaking.
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Metric 3-Lie algebras for unitary Bagger-Lambert theories

TL;DR: In this article, a structure theorem for finite-dimensional indefinite-signature metric 3-Lie algebras admitting a maximally isotropic centre is proved. But the Lagrangian for the Bagger-Lambert theory is not shown to be consistent with the physical Hilbert space.
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AdS 3/CFT 2, finite-gap equations and massless modes

TL;DR: In this article, the authors re-examine the derivation of the AdS 3 × M 7 finite-gap system and find that the conditions that had previously been imposed on these integral equations in order to implement the Virasoro constraints are too strict and are in fact not required.
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Tensor hierarchies, Borcherds algebras and E11

TL;DR: In this article, a tensor hierarchy of p-form fields that transform in specific representations of the global symmetry group was derived from a Borcherds superalgebra corresponding to E� n@@@@@@@@@@@@@@@@@@@@@@@@@@@@.
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Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes

TL;DR: In this paper, it was shown that there exists a cut-off version of Nambu-Poisson bracket which defines a finite dimensional Lie 3-algebra, which still satisfies the fundamental identity and produces = 8 supersymmetric BLG type equation of motion for multiple M2 branes.
References
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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.
Journal ArticleDOI

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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