PLANAR ISING MODEL AT CRITICALITY: STATE-OF-THE-ART AND PERSPECTIVES

DOI10.1142/9789813272880_0161zbMath1453.82006arXiv1712.04192OpenAlexW2972386386MaRDI QIDQ5122136

Dmitry Chelkak

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04192

zbMATH Keywords

conformal invariance2D Ising model\(s\)-holomorphicity\(s\)-embeddings

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Stochastic (Schramm-)Loewner evolution (SLE) (60J67) PDEs in connection with statistical mechanics (35Q82) Discrete analytic functions (30G25)

Related Items (8)

On multiple SLE for the FK-Ising model ⋮ Universality of spin correlations in the Ising model on isoradial graphs ⋮ Slit-strip Ising boundary conformal field theory. I: Discrete and continuous function spaces ⋮ Dimer model and holomorphic functions on t‐embeddings of planar graphs ⋮ Cube moves for \(s\)-embeddings and \(\alpha\)-realizations ⋮ Mini-workshop: Dimers, Ising and spanning trees beyond the critical isoradial case. Abstracts from the mini-workshop held November 15--21, 2020 (online meeting) ⋮ Circle patterns and critical Ising models ⋮ Convergence of fermionic observables in the massive planar FK-Ising model

This page was built for publication: PLANAR ISING MODEL AT CRITICALITY: STATE-OF-THE-ART AND PERSPECTIVES