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arXiv · 2402.07413

Spectral transform for the Ising model

Terrence George
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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.

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Terrence George. 2024-02-12. Spectral transform for the Ising model. https://arxiv.org/abs/2402.07413

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