1109.1549 (Hugo Duminil-Copin et al.)

Conformal invariance of lattice models    [PDF]

Hugo Duminil-Copin, Stanislav Smirnov

These lecture notes provide a (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present the theory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergence to SLE is discussed briefly. Many open questions are included.

View original: http://arxiv.org/abs/1109.1549