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A Note on Dimer Models and McKay Quivers

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Abstract

We give one formulation of a procedure of Hanany and Vegh (J High Energy Phys 0710(029):35, 2007) 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 et al. (Adv Theor Math Phys 12(3):489–545, 2008).

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Authors and Affiliations

  1. Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1-1, Toyonaka, Osaka, 560-0043, Japan

    Kazushi Ueda

  2. Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-0033, Japan

    Masahito Yamazaki

Authors
  1. Kazushi Ueda
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  2. Masahito Yamazaki
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Correspondence to Kazushi Ueda.

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Communicated by N.A. Nekrasov

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Ueda, K., Yamazaki, M. A Note on Dimer Models and McKay Quivers. Commun. Math. Phys. 301, 723–747 (2011). https://doi.org/10.1007/s00220-010-1101-0

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  • DOI: https://doi.org/10.1007/s00220-010-1101-0

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