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Title:
Banded states in the Ising model
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Abstract:
We define a three-parameter family of measures generalizing the standard $q=2$ random cluster model (Ising model) on a periodic planar graph. These are measures on FK configurations with multiple parallel connected domains. They are conformally invariant with a tilted conformal structure. Via a variational principle they give rise to limit shapes in scaling limits with certain boundary connection conditioning, similar to the sense in which the gradient Gibbs measures in the dimer model give rise to limit shapes for the dimer height function.
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