On Dimer Models and Closed String Theories

Abstract

We study some aspects of the recently discovered connection between dimer models and D-brane gauge theories. We argue that dimer models are also naturally related to closed string theories on non compact orbifolds of $\BC^2$ and $\BC^3$, via their twisted sector R charges, and show that perfect matchings in dimer models correspond to twisted sector states in the closed string theory. We also use this formalism to study the combinatorics of some unstable orbifolds of $\BC^2$.

1 + 25 pages, LaTeX, 11 epsf figures

References in corpus (17)

• Phases of $N=2$ Theories In Two Dimensions
• D-branes, Quivers, and ALE Instantons
• Gauge Theories from Toric Geometry and Brane Tilings
• Orbifold Resolution by D-Branes
• D-Brane Gauge Theories from Toric Singularities and Toric Duality
• Brane Dimers and Quiver Gauge Theories
• Dimer models and toric diagrams
• Aspects of Type IIB Theory on ALE Spaces
• Symmetries of Toric Duality
• An introduction to the dimer model
• On the Geometric Interpretation of N = 2 Superconformal Theories
• Moduli Spaces of Gauge Theories from Dimer Models: Proof of the Correspondence
• How to calculate A-Hilb C^3
• Brane Probes, Toric Geometry, and Closed String Tachyons
• Lectures on D-branes, Gauge Theories and Calabi-Yau Singularities
• D-brane gauge theories from toric singularities of the form $C^3/\Gamma$ and $C^4/\Gamma$
• On Tachyons in Generic Orbifolds of $\BC^r$ and Gauged Linear Sigma Models

Cited by in corpus (2)

• Brane Tilings and Their Applications
• A Note on Dimer Models and D-brane Gauge Theories