Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-24
JHEP 0809:116,2008
Physics
High Energy Physics
High Energy Physics - Theory
9 pp., plain tex. v2: references added
Scientific paper
10.1088/1126-6708/2008/09/116
We reformulate the Bagger-Lambert-Gustavsson model using an N=8 superspace, thus making the full supersymmetry manifest. The formulation is based on appropriate "pure spinor wave functions" for the Chern-Simons and matter multiplets. The Lagrangian has an extremely simple structure, essentially containing a Chern-Simons-like term for the gauge field wave function and a minimally coupled matter wave function. No higher order interactions than cubic are present. The consistency of the setup relies on an interplay between the algebraic structures of the 3-algebra and of the pure spinors.
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