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Title:
Planar Ising Model: discrete and continuous structures
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Abstract:
The planar Ising model is exactly solvable, as was shown by Onsager. It exhibits many interesting algebraic, probabilistic and analytic discrete structures that have been investigated for many decades. It has been conjectured that its phase transition point, the Ising model converges to a continuous limit, and acquires conformal symmetry. This leads to continuous theories, such as Conformal Field Theory and Schramm-Loewner Evolutions, that possess beautiful and different structures, and yield spectacular results, in particular exact formulae.
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