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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The N=8 superconformal bootstrap in three dimensions
TL;DR: In this article, the authors analyzed the constraints imposed by unitarity and crossing symmetry on the four-point function of the stress-tensor multiplet of superconformal field theories in three dimensions.
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A simple class of N = 3 gauge/gravity duals
TL;DR: In this paper, the gravity duals to an infinite series of = 3 Chern-Simons quiver theories were found, and they are AdS4 × M7 vacua of M-theory, with M7 in a certain class of 3Sasaki-Einstein manifolds obtained by a quotient construction.
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Bagger-Lambert theory for general Lie algebras
TL;DR: The totally antisymmetric structure constants f ABCD as discussed by the authors of a 3-algebra with a Lorentzian bi-invariant metric starting from an arbitrary semi-simple Lie algebra can be used to write down a maximally superconformal 3D theory that incorporates the expected degrees of freedom of multiple M2 branes.
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M2-branes on M-folds
TL;DR: In this article, the moduli space for the Bagger-Lambert A4 theory at level k is (8 × 8)/D2k, where D2k is the dihedral group of order 4k.
Journal ArticleDOI
M5-brane in three-form flux and multiple M2-branes
TL;DR: In this article, the Bagger-Lambert-Gustavsson model associated with the Nambu-Poisson algebra was investigated as a theory describing a single M5-brane.
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.
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.