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Modeling multiple M2-branes

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TLDR
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.
Abstract
We investigate the worldvolume theory that describes $N$ coincident M2-branes ending on an M5-brane. We argue that the fields that describe the transverse spacetime coordinates take values in a nonassociative algebra. We postulate a set of supersymmetry transformations and find that they close into a novel gauge symmetry. We propose a three-dimensional $N=2$ supersymmetric action to describe the truncation of the full theory to the scalar and spinor fields, and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution to this theory.

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Citations
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N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

TL;DR: In this paper, the authors constructed three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(n) and SU(N), SU(2) × SU (2) which have explicit = 6 superconformal symmetry.
Journal ArticleDOI

Gauge symmetry and supersymmetry of multiple M2-branes

Jonathan Bagger, +1 more
- 07 Mar 2008 - 
TL;DR: 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.
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

Comments on multiple M2-branes

TL;DR: In this paper, the authors examined several physical predictions of this model and showed that they are in agreement with expected M2-brane dynamics, including quantization of the Chern-Simons coefficient, the vacuum moduli space, a massive deformation leading to fuzzy three-sphere vacua, and a possible large n limit.
Journal ArticleDOI

Fractional M2-branes

TL;DR: In this article, two generalizations of the = 6 superconformal Chern-Simons-matter theories with gauge group U(n) × U(N) have been considered, and they are conjectured to describe M−N| fractional M2-branes localized at the orbifold singularity.
References
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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.
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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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The Self-Dual String Soliton

TL;DR: In this article, a BPS soliton of the M theory fivebrane's equations of motion representing a supersymmetric self-dual string was obtained and the resulting solution was then dimensionally reduced and used to obtain 0-brane and (p-2)-brane solitons on D-p-branes.
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Superconformal field theories from M-theory crystal lattices

TL;DR: In this paper, a brane configuration for the superconformal theories of the Calabi-Yau 4-fold cones was proposed, arising from M2 branes probing toric Calabi Yau 4fold cones using a T-duality transformation of M theory.
Journal ArticleDOI

Nahm Equations and Boundary Conditions

TL;DR: In this article, the boundary conditions in Nahm's equations were derived by considering a system of N parallel D1-branes perpendicular to a D3-brane in type IIB string theory.
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