Conformal Invariance of Spin Correlations in the Planar Ising Model
  We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary simply connected planar domains. This solves a number of conjectures coming from the physical and the mathematical literature. The proof relies on convergence results for discrete holomorphic spinor observables and probabilistic techniques. 
Dmitry Chelkak, Cl\'ement Hongler and Konstantin Izyurov
math-ph math.CV math.MP math.PR