Dimer Models from Mirror Symmetry and Quivering Amoebae
arXiv:hep-th/0511287
Abstract
Dimer models are 2-dimensional combinatorial systems that have been shown to encode the gauge groups, matter content and tree-level superpotential of the world-volume quiver gauge theories obtained by placing D3-branes at the tip of a singular toric Calabi-Yau cone. In particular the dimer graph is dual to the quiver graph. However, the string theoretic explanation of this was unclear. In this paper we use mirror symmetry to shed light on this: the dimer models live on a T^2 subspace of the T^3 fiber that is involved in mirror symmetry and is wrapped by D6-branes. These D6-branes are mirror to the D3-branes at the singular point, and geometrically encode the same quiver theory on their world-volume.
55 pages, 27 figures, LaTeX2e
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Cited by in corpus (17)
- The Master Space of N=1 Gauge Theories
- Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals
- Gauge Theories at Resolved and Deformed Singularities using Dimers
- From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization
- Non-perturbative F-terms across lines of BPS stability
- Deformations of conformal theories and non-toric quiver gauge theories
- Deformations of Toric Singularities and Fractional Branes
- Comments on Anomalies and Charges of Toric-Quiver Duals
- Half--Hypers and Quivers
- Anomalies and O-plane charges in orientifolded brane tilings
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- Typicality, Black Hole Microstates and Superconformal Field Theories
- Free Yang-Mills vs. Toric Sasaki-Einstein
- Parameter Space of Quiver Gauge Theories
- Some Open Questions in Quiver Gauge Theory
- Triangle Anomalies from Einstein Manifolds