NB BLG model in N=8 superfields

Details NB BLG model in N=8 superfields NB BLG model in N=8 superfields

2008-08-26

arxiv.org/abs/0808.3568v3

Phys.Lett.B669:193-195,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures. V2: References added, misprints corrected, some cosmetic changes made, comment on ref [17] in 'notes adde

Scientific paper

10.1016/j.physletb.2008.09.042

We develop the N=8 superfield description of the Bagger-Lambert-Gustavsson (BLG) model in its Nambu bracket (NB) realization. The basic ingredient is the octet of scalar d=3 N=8 superfields depending also on the coordinates of a compact three dimensional space M. It is restricted by the 'superembedding-like' equation, which can be treated as covariantization of the linearized superembedding equation for supermembrane (M2-brane) with respect volume preserving diffeomorphisms SDiff3 of M. The curvatures of SDiff3 connection are expressed through the scalar superfields by the N=8 superfield generalization of the Chern-Simons equation (super-CS equation). We show how the dynamical BLG equations appear when studying consistency of these basic equations.

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