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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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The classification of six-dimensional 4-Lie algebras

Ruipu Bai, +1 more
- 23 Jan 2009 - 
TL;DR: In this article, the classification of six-dimensional 4-Lie algebras over an algebraically closed field of characteristic zero was studied, and the properties of (n + 2)-dimensional n-Lie (4-Lie)-algebraic (n − 2)-Algebraic n-Algebraal (n-Lie) is discussed.
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On n-ary Hom-Nambu and Hom-Maltsev algebras

TL;DR: The class of n-ary Hom-Maltsev algebras is studied in this article, where it is shown that the class of hom-alternative and hom-nambu-legional hom-Nambu algesias can give rise to hom-maltseve algesia of arities 2 −k+1 + 1.
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Lessons from M2's and Hopes for M5's

TL;DR: In this paper, the authors review the construction of M2-brane SCFTs highlighting some novelties and the role of 3-algebras and discuss M5-branes: the basics, the obstacles as well as various attempts to construct the associated SCFT.
Journal ArticleDOI

CSO c superpotentials

Adolfo Guarino
- 20 Aug 2015 - 
TL;DR: In this paper, a collection of superpotentials driving the dynamics of four-dimensional supergravities is presented, motivated by their application to holographic RG flows and hairy black holes in Einstein-scalar systems.
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The Nambu bracket and M-theory

TL;DR: A review of the Nambu bracket (Lie 3-algebra) in Bagger-Lambert-Gustavsson theory of multiple M2-branes can be found in this paper.
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.
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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.
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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.
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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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