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

By Pei-Ming Ho, Y. Imamura, Yutaka Matsuo, Shotaro Shiba. 2008

188 citations recorded by the source corpus.

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-dimensional 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.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/aa62fdd637d775e8c7fb46c3f3163c056c200341

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Citations in the corpus

n-ary algebras: a review with applications (2010, methodology): “We conclude by mentioning that the BLGNB model has also been conjectured to describe a single M5-brane in the strong (constant) three-form field of D = 11 supergravity, an interpretation proposed in [57, 303] and further developed in [312] and [313].”
M2 to D2 revisited (2008, background): “This is based on a technical development in [ 24 ] where the exact analysis including the nonlinear terms are given.”