Hirota, Fay and Geometry
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911758880342016 |
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| author | Eynard, Bertrand Oukassi, Soufiane |
| author_facet | Eynard, Bertrand Oukassi, Soufiane |
| contents | This is a review of the relationship between Fay identities and Hirota equations in integrable systems, reformulated in a geometric language compatible with recent Topological Recursion formalism. We write Hirota equations as trans-series, and Fay identities as spinor functional relations. We also recall several constructions of how some solutions to Fay/Hirota equations can be built from Riemann surface geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08317 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hirota, Fay and Geometry Eynard, Bertrand Oukassi, Soufiane Mathematical Physics 37K10, 14H70, 14H42 This is a review of the relationship between Fay identities and Hirota equations in integrable systems, reformulated in a geometric language compatible with recent Topological Recursion formalism. We write Hirota equations as trans-series, and Fay identities as spinor functional relations. We also recall several constructions of how some solutions to Fay/Hirota equations can be built from Riemann surface geometry. |
| title | Hirota, Fay and Geometry |
| topic | Mathematical Physics 37K10, 14H70, 14H42 |
| url | https://arxiv.org/abs/2401.08317 |