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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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The M5-brane action revisited

TL;DR: In this article, an alternative form of the M5-brane action in which the sixdimensional world volume is subject to a covariant split into 3+3 directions by a triplet of auxiliary fields is presented.
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Quantum N=3, d=3 Chern-Simons Matter Theories in Harmonic Superspace

TL;DR: In this paper, the background field method for studying classical and quantum aspects of N = 3, d = 3 Chern-Simons and matter theories in N=3 harmonic superspace was developed.
Journal ArticleDOI

Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model

TL;DR: In this paper, the Bagger-Lambert-Gustavsson theory is reduced to a zero-dimensional 3-Lie algebra model and various stable solutions corresponding to quantized Nambu-Poisson manifolds are constructed.
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Chiral 2d Theories from N=4 SYM with Varying Coupling

TL;DR: In this article, the authors studied 2d chiral theories arising from 4d N=4 super-Yang Mills with varying coupling tau and derived the spectrum and anomaly polynomials of the resulting strings in various dimensions.
Journal ArticleDOI

Exact Half-BPS Flux Solutions in M-theory I, Local Solutions

TL;DR: The complete eleven-dimensional supergravity solutions with 16 supersymmetries on manifolds of the form $AdS_3 \times S^3 √ S^4 \times SO(2,2) √ SO(4) \timesSO(4), and with either mixed or complete boundary behavior, are obtained in exact form by mapping the reduced BPS equations to an integrable system of the sine-Gordon/Liouville type.
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.
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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.
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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