Using Grassmannian integrals, the double-dimer connection probability on a rectangle is shown to converge in the continuum to the known SLE4/CLE4 value (1-x)/(1+x).
Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences 60.12, 1792-1847 (2007)
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Connection probabilities in the double-dimer model -- the case of two connectivity patterns
Using Grassmannian integrals, the double-dimer connection probability on a rectangle is shown to converge in the continuum to the known SLE4/CLE4 value (1-x)/(1+x).