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Article
Report number	arXiv:1206.6699 ; CERN-PH-TH-2012-178 ; KCL-MTH-12-07 ; CERN-PH-TH-2012-178 ; KCL-MTH-12-07
Title	Periodic Arrays of M2-Branes
Author(s)	Jeon, Imtak (Sogang U. ; CERN) ; Lambert, Neil (CERN ; Newton Inst. Math. Sci., Cambridge ; King's Coll. London, Dept. Math) ; Richmond, Paul (King's Coll. London, Dept. Math)
Publication	2012
Imprint	29 Jun 2012
Number of pages	20
Note	Comments: 20 pages, 1 figure 20 pages, 1 figure, v3: typos corrected, published version
In:	JHEP 11 (2012) 100
DOI	10.1007/JHEP11(2012)100
Subject category	Particle Physics - Theory
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 ${\mathbb T}^3$.
Copyright/License	Preprint: © 2012-2026 CERN (License: CC-BY-3.0)

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