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math.AGMay 1, 2006
12
citations (OpenAlex)
authors
  • Kazushi Ueda
  • Masahito Yamazaki
institutions
  • The University of Osaka
  • The University of Tokyo
arXiv abstractPDF
paper

A note on dimer models and McKay quivers

arXiv:math/0605780 · doi:10.1007/s00220-010-1101-0

Abstract

We give one formulation of an algorithm of Hanany and Vegh which takes a lattice polygon as an input and produces a set of isoradial dimer models. We study the case of lattice triangles in detail and discuss the relation with coamoebas following Feng, He, Kennaway and Vafa.

25 pages, 35 figures. v3:completely rewritten

References in corpus (8)

  • Sasaki-Einstein Manifolds and Volume Minimisation
  • Discrete Riemann Surfaces and the Ising model
  • Properly ordered dimers, R-charges, and an efficient inverse algorithm
  • From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization
  • Moduli Spaces of Gauge Theories from Dimer Models: Proof of the Correspondence
  • Emergent Calabi-Yau Geometry
  • Comments on Anomalies and Charges of Toric-Quiver Duals
  • Zonotopes and four-dimensional superconformal field theories

Cited by in corpus (6)

  • Dimer models and the special McKay correspondence
  • Quiver Yangian from Crystal Melting
  • Quivers, YBE and 3-manifolds
  • Shifted Quiver Yangians and Representations from BPS Crystals
  • New Integrable Models from the Gauge/YBE Correspondence
  • Deformations of Dimer Models
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