A Sharp Deconfinement Transition for Potts Lattice Gauge Theory in Codimension Two

Paul Duncan, Benjamin Schweinhart

In 1983, Aizenman, Chayes, Chayes, Fröhlich, and Russo proved that $2$-dimensional Bernoulli plaquette percolation in ${\mathbb{Z}}^3$ exhibits a sharp phase transition for the event…