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

Mathematics – Combinatorics

Scientific paper

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Scientific paper

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.

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