Periodic Arrays of M2-Branes

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 ${\mathbb{T}}^3$.

20 pages, 1 figure, v3: typos corrected, published version

References in corpus (10)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• M2 to D2
• Membranes on an Orbifold
• Supersymmetry enhancement by monopole operators
• Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
• Dimensional reduction of the ABJM model
• Aspects of U-duality in BLG models with Lorentzian metric 3-algebras

Cited by in corpus (6)

• Deconstructing (2,0) Proposals
• Lessons from M2's and Hopes for M5's
• M2-Branes And The (2,0) Superalgebra
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• Yangian Symmetry in Five Dimensions
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory