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Fluctuations in the Aztec diamonds via a Lorentz-minimal surface

Abstract

We provide a new description of the scaling limit of dimer fluctuations in homogeneous Aztec diamonds via the intrinsic conformal structure of a Lorentz-minimal surface in R^{2+1}. This surface naturally appears as the limit of the graphs of origami maps associated to symmetric t-embeddings (Coulomb gauges) of Aztec diamonds, fitting the framework of [6, 7].
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Dates and versions

hal-02572666 , version 1 (13-05-2020)

Identifiers

  • HAL Id : hal-02572666 , version 1

Cite

Dmitry Chelkak, Sanjay Ramassamy. Fluctuations in the Aztec diamonds via a Lorentz-minimal surface. 2020. ⟨hal-02572666⟩
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