NB BLG model in N=8 superfields
arXiv:0808.3568 · doi:10.1016/j.physletb.2008.09.042
Abstract
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.
8 pages, no figures. V2: References added, misprints corrected, some cosmetic changes made, comment on ref [17] in 'notes added' extended. V3. More misprints corrected. Version to appear in Phys.Lett. B
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Cited by in corpus (13)
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- ABJM models in N=3 harmonic superspace
- Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action
- Superfield actions for N=8 and N=6 conformal theories in three dimensions
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