M5-brane in three-form flux and multiple M2-branes

Details M5-brane in three-form flux and multiple M2-branes M5-brane in three-form flux and multiple M2-branes

2008-05-19

arxiv.org/abs/0805.2898v1

JHEP 0808:014,2008

Physics

High Energy Physics

High Energy Physics - Theory

33 pages

Scientific paper

10.1088/1126-6708/2008/08/014

We investigate the Bagger-Lambert-Gustavsson model associated with the Nambu-Poisson algebra as a theory describing a single M5-brane. We argue that the model is a gauge theory associated with the volume-preserving diffeomorphism in the three-dimenisonal internal space. We derive gauge transformations, actions, supersymmetry transformations, and equations of motions in terms of six-dimensional fields. The equations of motions are written in gauge-covariant form, and the equations for tensor fields have manifest self-dual structure. We demonstrate that the double dimensional reduction of the model reproduces the non-commutative U(1) gauge theory on a D4-brane with a small non-commutativity parameter. We establish relations between parameters in the BLG model and those in M-theory. This shows that the model describes an M5-brane in a large C-field background.

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