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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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Landscape of superconducting membranes

TL;DR: In this paper, the stability of a landscape of IR fixed points of large N gauge theories in 2+1 dimensions was studied and it was shown that many of these theories have charged operators that condense when the theory is placed at a finite chemical potential.
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? = 4 Superconformal Chern-Simons theories with hyper and twisted hyper multiplets

TL;DR: In this article, the authors extend the = 4 superconformal Chern-Simons theories of Gaiotto and Witten to those with additional twisted hyper-multiplets.
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M2 to D2 revisited

TL;DR: In this article, two derivations of the multiple D2 action from the multiple M2-brane model proposed by Bagger-Lambert and Gustavsson are presented.
Journal ArticleDOI

Constraining Maximally Supersymmetric Membrane Actions

TL;DR: In this article, the authors studied the construction of maximally supersymmetric field theory Lagrangians in three spacetime dimensions that are based on algebras with a triple product and proved that the only non-trivial examples are either the well known case based on a four dimensional algebra or direct sums thereof.
Journal ArticleDOI

A supermatrix model for N=6 super Chern-Simons-matter theory

TL;DR: In this paper, the Wilson loop operator of N = 6 super Chern-Simons-matter was constructed, which is invariant under half of the supercharges of the theory and is dual to the simplest macroscopic open string in AdS_4 x CP^3.
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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