Spectral transform for the Ising model
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911775290556416 |
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| author | George, Terrence |
| author_facet | George, Terrence |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07413 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral transform for the Ising model George, Terrence Mathematical Physics Combinatorics Probability 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. |
| title | Spectral transform for the Ising model |
| topic | Mathematical Physics Combinatorics Probability |
| url | https://arxiv.org/abs/2402.07413 |