In these notes, we discuss a selection of topics on several models of planar statistical mechanics. We consider the Ising, Potts, and more generally abelian spin models; the discrete Gaussian free field; the random cluster model; and the six-vertex model. Emphasis is put on duality, order, disorder and spinor variables, and on mappings between these models.
"Topics on abelian spin models and related problems." Probab. Surveys 8 374 - 402, 2011. https://doi.org/10.1214/11-PS187