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math.PR2026
Massive holomorphicity of near-critical dimers and sine-Gordon model
Nathanaël Berestycki, Scott Mason, Lucas Rey
In this paper, we consider the near-critical dimer model in the setup of isoradial superpositions with Temperleyan boundary conditions. We show that the centered height function co…
math-ph2026
Classification of (non)-frustrated 2D Ising models in genus 1 on isoradial graphs
Béatrice de Tilière, Lucas Rey
We prove a complete classification of 2D Ising models defined on isoradial graphs, frustrated or not, whose underlying spectral curve has genus 1. As a specific case, we recover Ba…