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arXiv · 1206.6699

Periodic Arrays of M2-Branes

Imtak Jeon·Neil Lambert·Paul Richmond
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Abstract

We consider periodic arrays of M2-branes in the ABJM model in the spirit of a circle compactification to D2-branes in type IIA string theory. The result is a curious formulation of three-dimensional maximally supersymmetric Yang-Mills theory in terms of fermions, seven transverse scalars, a non-dynamical gauge field and an additional scalar `dual gluon'. Upon further T-duality on a transverse torus we obtain a non-manifest-Lorentz-invariant description of five-dimensional maximally supersymmetric Yang-Mills. Here the additional scalar field can be thought of as the components of a two-form along the torus. This action can be viewed as an M-theory description of M5-branes on ${\mathbb T}^3$.

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Imtak Jeon, Neil Lambert, Paul Richmond. 2012-06-28. Periodic Arrays of M2-Branes. https://doi.org/10.1007/jhep11(2012)100

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