On discrete field theory properties of the dimer and Ising models and their conformal field theory limits. (English) Zbl 1285.82014
Summary: 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.{
©2013 American Institute of Physics}
©2013 American Institute of Physics}
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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