N=8 superfield formulation of the Bagger-Lambert-Gustavsson model
arXiv:0808.3242 · doi:10.1088/1126-6708/2008/09/116
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.
9 pp., plain tex. v2: references added
References in corpus (8)
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Comments on Multiple M2-branes
- Membranes on an Orbifold
- Constraining Maximally Supersymmetric Membrane Actions
- Pure Spinor Formalism for Osp(N|4) backgrounds
- Pure Spinors and D=6 Super-Yang-Mills
Cited by in corpus (29)
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