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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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Spontaneous breaking of nilpotent symmetry in boundary BLG theory

TL;DR: In this paper, the authors exploit boundary term to preserve the supersymmetric gauge invariance of Bagger-Lambert-Gustavsson (BLG) theory.
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On Nonequilibrium Physics and String Theory

TL;DR: In this paper, the relation between string theory and nonequilibrium physics is discussed based on the connection between AdS/CFT correspondence and the Jarzynski identity, which is a natural generalization of the Wilsonian relation between local quantum field theory and equilibrium statistical physics.
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A NOTE ON STRINGS IN DEFORMED AdS4 × ℂℙ3: GIANT MAGNON AND SINGLE SPIKE SOLUTIONS

TL;DR: In this article, the authors studied the solitonic string solutions of magnon and single spike types in the beta-deformed AdS4 × ℂℙ3 background and found the dispersion relations which are supposed to give the anomalous dimension of the gauge theory operators.
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Mass-deformed super Yang-Mills theories from M2-branes with flux

TL;DR: In this article, the authors considered (2+1)-dimensional mass-deformed SYM theories and their M-theory origin, and obtained the fuzzy two ellipsoid solution for the first two cases.
Journal ArticleDOI

A non-associative quaternion scalar field theory

TL;DR: In this paper, a non-associative Groenewold-Moyal plane is constructed using quaternion-valued function algebras, and the symmetrized multi-particle states, scalar product, annihilation/creation algebra and d the formulation in terms of a Hopf algebra are also developed.
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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