Journal article

Ising Interfaces and Free Boundary Conditions

The authors generalize the result of D. Chelkak et al. [C. R., Math., Acad. Sci. Paris 352, No. 2, 157{161 (2014; Zbl 06265643)] to the case when free boundary conditions enter the picture. The proof is related to the rigorous computation of a (dual) boundary conformal eld theory correlation function, which is obtained by using both resent results concerning the boundary correlation functions of the model and existing SLE results for dual models. The result is applied for the conformal invariance of crossing probabilities. Another application is the proof that the collection of the Ising model interfaces converges to the conformal loop ensemble.

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