1202.2838 (Dmitry Chelkak et al.)

Conformal Invariance of Spin Correlations in the Planar Ising Model    [PDF]

Dmitry Chelkak, Clément Hongler, Konstantin Izyurov

We rigorously prove existence and conformal invariance of scaling limits of
magnetization and multi-point spin correlations in the critical Ising model on
an arbitrary simply connected planar domain. This solves a number of
conjectures coming from physical and mathematical literatures. The proof is
based on convergence results for discrete holomorphic spinor observables.

View original: http://arxiv.org/abs/1202.2838