9 research outputs found
Aspects of Multiple Membranes
This paper examines various aspects of the recently proposed theory of
coincident membranes by Bagger and Lambert. These include the properties of
open membranes and the resulting boundary theory with an interpretation in
terms of the fivebrane and marginal supersymmetric deformations of the
interactions with the relation to the holographic dual.Comment: latex, 24 page
On the structure of k-Lie algebras
We show that the structure constants of -Lie algebras, , with a
positive definite metric are the sum of the volume forms of orthogonal
-planes. This generalizes the result for in arXiv:0804.2662 and
arXiv:0804.3078, and confirms a conjecture in math/0211170.Comment: 4 pages, minor changes and a reference adde
Multiple M2-branes and the Embedding Tensor
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.Comment: 11 pages, v2: references and discussion about G2 gauging adde