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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

Multiple Self-Dual Strings on M5-Branes

TL;DR: In this article, the authors define Chern-Simons matter theories with boundary and show how they can be used to cancel the gauge non-invariance of the ABJM action.
Journal ArticleDOI

N=8 superfield formulation of the Bagger-Lambert-Gustavsson model

TL;DR: In this paper, the Bagger-Lambert-Gustavsson model was reformulated using an N=8 superspace, thus making the full supersymmetry manifest.
Journal ArticleDOI

On superconformal Chern-Simons-matter theories in N = 4 superspace

TL;DR: In this article, the authors provide superfield realisations for the equations of motion which correspond to various N = 4 and N = 6 superconformal CS theories, including the Gaiotto-Witten theory and the ABJM theory.
Journal ArticleDOI

Spontaneous breaking of superconformal invariance in (2+1)D supersymmetric Chern–Simons-matter theories in the large N limit

TL;DR: In this paper, the spontaneous breaking of superconformal and gauge invariances in the Abelian N = 1, 2 three-dimensional supersymmetric Chern-Simons-matter (SCSM) theories in a large N flavor limit was studied.
Journal ArticleDOI

M2-brane flows and the Chern-Simons level

TL;DR: In this paper, the authors construct an explicit supergravity solution that is dual to this shift from generic k to k = 1 in ABJM gauge theory and present arguments for why this shift is plausible at the end of the RG flow.
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.
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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