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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ArXiv ePrint: 1206.6699
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Jeon, I., Lambert, N. & Richmond, P. Periodic arrays of M2-branes. J. High Energ. Phys. 2012, 100 (2012). https://doi.org/10.1007/JHEP11(2012)100
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DOI: https://doi.org/10.1007/JHEP11(2012)100