Remarks on intersection numbers and integrable hierarchies. II. Tau-structure
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929604521885696 |
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| author | Valeri, Daniele Yang, Di |
| author_facet | Valeri, Daniele Yang, Di |
| contents | For systems of evolutionary partial differential equations the tau-structure is an important notion which originated from the deep relation between integrable systems and quantum field theories. We show that, under a certain non-degeneracy condition, existence of a tau-structure implies integrability. As an example, we apply this principle to provide a new proof of the integrability of the Drinfeld--Sokolov hierarchy associated to an arbitrary Kac--Moody algebra and a choice of a vertex of its Dynkin diagram. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16575 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Remarks on intersection numbers and integrable hierarchies. II. Tau-structure Valeri, Daniele Yang, Di Mathematical Physics Exactly Solvable and Integrable Systems For systems of evolutionary partial differential equations the tau-structure is an important notion which originated from the deep relation between integrable systems and quantum field theories. We show that, under a certain non-degeneracy condition, existence of a tau-structure implies integrability. As an example, we apply this principle to provide a new proof of the integrability of the Drinfeld--Sokolov hierarchy associated to an arbitrary Kac--Moody algebra and a choice of a vertex of its Dynkin diagram. |
| title | Remarks on intersection numbers and integrable hierarchies. II. Tau-structure |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2312.16575 |