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Title:
Conformal invariance of Ising Model Fields and Correlations
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Abstract:
The scaling limit of the Ising model is the simplest minimal model of Conformal Field Theory: its various fields can be classified, and their correlation functions computed, on various geometries. The spectacular results and insights of CFT have remained until recently conjectural. It is now possible to analyze the lattice Ising model at critical temperature and to prove rigorously the convergence of its lattice fields to the CFT ones. Based on joint works with D. Chelkak, K. Izyurov and S. Smirnov.
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