N=6 Membrane Worldvolume Superalgebra

Details N=6 Membrane Worldvolume Superalgebra N=6 Membrane Worldvolume Superalgebra

2009-03-05

arxiv.org/abs/0903.0988v2

JHEP 0904:105,2009

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; references added

Scientific paper

10.1088/1126-6708/2009/04/105

In arXiv:0806.0363 the worldvolume superalgebra of the $\mathcal{N}=8$ Bagger-Lambert theory was calculated. In this paper we derive the general form for the worldvolume superalgebra of the $\mathcal{N}=6$ Bagger-Lambert theory. For a particular choice of three-algebra we derive the superalgebra of the ABJM theory. We interpret the associated central charges in terms of BPS brane configurations. In particular we find the central charge corresponding to the energy bound of the BPS fuzzy-funnel configuration of the ABJM theory. We also derive general expressions for the BPS equations of the $\mathcal{N}=6$ Bagger-Lambert theory.

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