Gauge symmetry and supersymmetry of multiple M2-branes
Jonathan Bagger,Neil Lambert +1 more
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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.read more
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M-Brane Models and Loop Spaces
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A nonassociative quaternion scalar field theory
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Refined Checks and Exact Dualities in Three Dimensions
TL;DR: In this article, a large class of dualities in three-dimensional field theories with different gauge groups are discussed and the full partition functions of the dual phases for any value of the couplings are matched to underpin their proposals.
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Non-abelian self-dual strings in six dimensions from four dimensional 1/2-BPS monopoles.
Chong-Sun Chu,Chong-Sun Chu +1 more
TL;DR: In this article, a new construction of self-dual string solutions to the non-abelian two-form selfduality equation proposed in [1] is presented, which is determined by the BPS monopoles in four-dimensions and given by the charge of the monopole.
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Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras
TL;DR: In this paper, it was shown that generalized Cartan-Weyl 3-algebras are the right class of metric Lie 3-Algebra to use in the Bagger-Lambert-Gustavsson (BLG) theory of multiple M2-branes.
References
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Algebraic structures on parallel M2-branes
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
Jonathan Bagger,Neil Lambert +1 more
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.
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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.