Multiple M2-branes and the Embedding Tensor

Abstract

We show that the Bagger-Lambert theory of multiple M2-branes fits into the general construction of maximally supersymmetric gauge theories using the embedding tensor technique. We apply the embedding tensor technique in order to systematically obtain the consistent gaugings of N=8 superconformal theories in 2+1 dimensions. This leads to the Bagger-Lambert theory, with the embedding tensor playing the role of the four-index antisymmetric tensor defining a ``3-algebra''. We present an alternative formulation of the theory in which the embedding tensor is replaced by a set of unrestricted scalar fields. By taking these scalar fields to be parity-odd, the Chern-Simons term can be made parity-invariant.

11 pages, v2: references and discussion about G2 gauging added

References in corpus (25)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Gluon scattering amplitudes at strong coupling
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Superconformal Chern-Simons Theories
• Comments on the Bagger-Lambert theory and multiple M2-branes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• Maximal gauged supergravity in three dimensions
• Membranes on an Orbifold
• Selfdual strings and loop space Nahm equations
• Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
• Gauged N=4 supergravities
• Gauged locally supersymmetric D=3 nonlinear sigma models
• N = 8 Superconformal Chern--Simons Theories
• N=8 matter coupled AdS_3 supergravities
• (Weak) G_2 Holonomy from Self-duality, Flux and Supersymmetry
• Pluecker-type relations for orthogonal planes
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Aspects of Multiple Membranes
• The Bianchi Classification of Maximal D=8 Gauged Supergravities
• Lagrangians with electric and magnetic charges of N=2 supersymmetric gauge theories
• A Note on E11 and Three-dimensional Gauged Supergravity
• On the Problem of Multiple M2 Branes
• Domain Walls on the Brane

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