SciPost Submission Page
Hirota, Fay and Geometry
by Bertrand Eynard, Soufiane Oukassi
Submission summary
| Authors (as registered SciPost users): | Bertrand Eynard |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2401.08317v1 (pdf) |
| Date submitted: | 2024-06-25 11:16 |
| Submitted by: | Eynard, Bertrand |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing