Spectral transform for the Ising model
Mathematical Physics
2024-02-13 v1 Combinatorics
math.MP
Probability
Abstract
We prove a correspondence between Ising models in a torus and the algebro-geometric data of a Harnack curve with a certain symmetry and a point in the real part of its Prym variety, extending the correspondence between dimer models and Harnack curves and their Jacobians due to Kenyon and Okounkov.
Cite
@article{arxiv.2402.07413,
title = {Spectral transform for the Ising model},
author = {Terrence George},
journal= {arXiv preprint arXiv:2402.07413},
year = {2024}
}
Comments
18 pages, 10 figures