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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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Generalization of n-ary Nambu algebras and beyond

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The Gauge Dual of Gauged N=8 Supergravity Theory

TL;DR: In this article, a family of holographic supersymmetric RG flows on M2-branes in three-dimensions is described, driven by three independent mass parameters from the theory and is controlled by two IR fixed points.
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Spontaneous symmetry breaking in Lorentz violating background

TL;DR: In this article, spontaneous symmetry breaking of gauge theories in a Lorentz violating background is studied, and the authors show that the different Hilbert spaces in various gauges of this theory can be related to each other through the gaugeon formalism.
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Three-dimensional N =4 supersymmetry in harmonic N =3 superspace

TL;DR: In this article, the authors considered the map of three-dimensional N = 4 superfields to the N = 3 harmonic superspace and constructed left and right representations of the N=4 superconformal group on N=3 analytic superfields.
Posted Content

Lie 3-Algebra Non-Abelian (2,0) Theory in Loop Space

TL;DR: In this article, the non-abelian (2,0) theory in loop space is investigated and the two-form potential becomes a part of connection, and an ansatz for field supersymmetry transformation with a help of Lie 3-algebra is made.
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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