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 (3)

• Comments on the Bagger-Lambert theory and multiple M2-branes
• Membranes on an Orbifold
• Aspects of Multiple Membranes

Cited by in corpus (8)

• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• An N=1 Superfield Action for M2 branes
• Multiple Membranes from Gauged Supergravity
• Janus field theories from multiple M2 branes
• Coulomb Branch of the Lorentzian Three Algebra Theory
• On the structure of k-Lie algebras
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• A note on Quantum Aspects of Multiple Membranes