BKP and CKP hierarchies via orbifold Saito theory
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910014280564736 |
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| author | Basalaev, Alexey |
| author_facet | Basalaev, Alexey |
| contents | Semisimple Dubrovin-Frobenius manifolds can be used to construct integrable hierarchies, following the work of Dubrovin-Zhang and Buryak. Examples of such hierarchies include the Kac-Wakimoto hierarchies, the KP hierarchy, among others. In all these examples, the Saito theory of isolated singularities played a crucial role. In this note, we show that the BKP and CKP hierarchies can likewise be constructed from Dubrovin-Frobenius manifolds. This new construction, however, utilizes the orbifold version of Saito theory for isolated singularities endowed with a symmetry group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06736 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | BKP and CKP hierarchies via orbifold Saito theory Basalaev, Alexey Exactly Solvable and Integrable Systems Semisimple Dubrovin-Frobenius manifolds can be used to construct integrable hierarchies, following the work of Dubrovin-Zhang and Buryak. Examples of such hierarchies include the Kac-Wakimoto hierarchies, the KP hierarchy, among others. In all these examples, the Saito theory of isolated singularities played a crucial role. In this note, we show that the BKP and CKP hierarchies can likewise be constructed from Dubrovin-Frobenius manifolds. This new construction, however, utilizes the orbifold version of Saito theory for isolated singularities endowed with a symmetry group. |
| title | BKP and CKP hierarchies via orbifold Saito theory |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2602.06736 |