On discrete field theory properties of the dimer and Ising models and   their conformal field theory limits
  We study various mathematical aspects of discrete models on graphs, specifically the Dimer and the Ising models. We focus on proving gluing formulas for individual summands of the partition function. We also obtain partial results regarding conjectured limits realized by fermions in rational conformal field theories. 
Igor Kriz, Martin Loebl, Petr Somberg
math.CO cond-mat.stat-mech math-ph math.MP