Brane Tilings and M2 Branes
arXiv:0809.1440 · doi:10.1088/1126-6708/2009/03/012
Abstract
Brane tilings are efficient mnemonics for Lagrangians of N=2 Chern-Simons-matter theories. Such theories are conjectured to arise on M2-branes probing singular toric Calabi-Yau fourfolds. In this paper, a simple modification of the Kasteleyn technique is described which is conjectured to compute the three dimensional toric diagram of the non-compact moduli space of a single probe. The Hilbert Series is used to compute the spectrum of non-trivial scaling dimensions for a selected set of examples.
47 pages, 23 figures
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Cited by in corpus (11)
- M2-branes on Orbifolds of the Cone over Q^{1,1,1}
- Phases of M2-brane Theories
- N=2 solutions of massive type IIA and their Chern-Simons duals
- M2-Branes and Quiver Chern-Simons: A Taxonomic Study
- ABJM Mirrors and a Duality of Dualities
- Octonions, G_2 and generalized Lie 3-algebras
- Master Space and Hilbert Series for N=1 Field Theories
- Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
- Charges and homologies in AdS_4/CFT_3
- M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing
- R-symmetry and supersymmetry breaking in 3D WZ models