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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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Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure

TL;DR: In this article, the Bagger-Lambert-Gustavsson theory with Nambu-Poisson structure was investigated and the central charges corresponding to M5-brane solitons in 3-form backgrounds.
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Existence Theorems for Vortices in the Aharony–Bergman–Jaferis–Maldacena Model

TL;DR: A series of sharp existence and uniqueness theorems are established for the multiple vortex solutions in the supersymmetric Chern-Simons-Higgs theory formalism of Aharony, Bergman, Jaferis, and Maldacena, for which the Higgs bosons and Dirac fermions lie in the bifundamental representation of the general gauge symmetry group as mentioned in this paper.
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3d N=4 Bootstrap and Mirror Symmetry

TL;DR: In this article, the authors investigated the non-BPS realm of 3D = 4$ superconformal field theory by uniting the nonperturbative methods of the conformal bootstrap and supersymmetric localization, and utilizing special features of 3d = 4 $ theories such as mirror symmetry and a protected sector described by topological quantum mechanics (TQM).
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Two-Loop Spectroscopy of Short ABJM Operators

TL;DR: In this article, the spectrum of anomalous dimensions of short operators in planar ABJM theory at two loops is studied and a method for solving the OSp(6|4) Bethe ansatz equations for a certain class of unpaired length-4 states with arbitrarily high number of excitations is presented.
Journal ArticleDOI

Fermionic response in finite-density ABJM theory with broken symmetry

TL;DR: In this article, the fermionic response in domain wall backgrounds of four-dimensional gauged supergravity interpolating between distinct stable anti-de Sitter (AdS) vacua, holographically dual to zero-temperature states of ABJM theory at finite density for monopole charge.
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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