On discrete field theory properties of the dimer and Ising models and their conformal field theory limits

Abstract

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.

Also partial results regarding conjectured limits realized by fermions in rational conformal field theories.

Keywords

• discrete field theory
• dimer model
• Ising model
• limit