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arXiv · 0808.3242

N=8 superfield formulation of the Bagger-Lambert-Gustavsson model

Martin Cederwall
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Abstract

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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Martin Cederwall. 2008-09-02. N=8 superfield formulation of the Bagger-Lambert-Gustavsson model. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F116

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