Probability and analysis informal seminar
Potts gauge theories were introduced in the '80s by Kogut, Pearson, Shigemitsu, and Sinclair. They are toy examples of lattice gauge theories that exhibit a confinement-deconfinement phase transition of Wilson loop observables. In 3d, they arise as dual models to 3d Ising and Potts models. In 4d, they exhibit self-duality. In this talk, I will give a gentle introduction to these models and their stochastic geometric representations. I will also discuss how modern percolation theory techniques seems to be useful in analysing these models in 4d (at least, making some modest progress). This is based on ongoing work with Sky Cao.
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Thierry Bodineau, Pieter Lammers, Yilin Wang