Conformal invariance of the planar four-state Potts model and its random-cluster representation
Emile Averous, Hugo Duminil-Copin, Tiancheng He, Piet Lammers, Ioan Manolescu
Abstract
For the critical random-cluster model on Z2 with cluster-weight q=4, we prove the convergence of loops to CLE(4) in the scaling limit. Conformal invariance of the four-state Potts model is then deduced via the Edwards-Sokal coupling.
Create a lesson
Related papers
Unifying spherical convolutions through lifting
J. D. McEwen
Perturbed isotropic oscillators with inversion symmetry
Antonella Marchesiello, Rita Mastroianni, Giuseppe Pucacco
Critical Ising model as the M(4,3) minimal model of conformal field theory
Dmitry Chelkak, Konstantin Izyurov, Kalle Kytölä
A Sklar-Type Decomposition for Positive Binary Distributions and a Gibbs Interpretation
Yi-Yu Lin
Lieb-Robinson bounds for irreversible dynamics via adaptive Dyson expansion
Carla Rubiliani, Marius Wesle, Tom Wessel
An elementary approach to the Szegő theorems
Israel Klich, Ravisankar Rajagopal