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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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Entropy functions of BPS black holes in AdS$_4$ and AdS$_6$

TL;DR: In this article, the entropy functions of supersymmetric black holes with electric charges and angular momenta were obtained, and the chemical potentials of known analytic black hole solutions were obtained.
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On three-algebra and bi-fundamental matter amplitudes and integrability of supergravity

TL;DR: In this paper, the authors explore tree-level amplitude relations for SU(N)×-SU(M) bi-fundamental matter theories in general dimension and derive Kleiss-Kuijf-like relations for general gauge groups.
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Classical and quantal ternary algebras

TL;DR: In this paper, the authors compare the quantal versions of the algebras, as realized through associative products of operators, with their classical counterparts, as realised through classical Nambu brackets.
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More on the Nambu-Poisson M5-brane theory: scaling limit, background independence and an all order solution to the Seiberg-Witten map

TL;DR: In this article, the Nambu-Poisson description of M5-brane in a large constant C-field background was investigated and an all order solution to the Seiberg-Witten map was constructed.
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Rota-Baxter 3-Lie algebras

TL;DR: In this paper, the concepts of a Rota-Baxter operator and differential operator with weights on an n-algebra were introduced, and the inheritance property of 3-Lie algebras was established.
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.
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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