Blobbed topological recursion and KP integrability
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917333266595840 |
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| author | Alexandrov, Alexander Bychkov, Boris Dunin-Barkowski, Petr Kazarian, Maxim Shadrin, Sergey |
| author_facet | Alexandrov, Alexander Bychkov, Boris Dunin-Barkowski, Petr Kazarian, Maxim Shadrin, Sergey |
| contents | We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological expansion. We show that the so-called non-perturbative differentials form a special case of this revisited version of blobbed topological recursion. Furthermore, we prove the KP integrability of the differentials of blobbed topological recursion for the input data that include KP-integrable blobs. This result generalizes, unifies, and gives a new proof of the KP integrability of nonperturbative differentials conjectured by Borot--Eynard and recently proved by the authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03545 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Blobbed topological recursion and KP integrability Alexandrov, Alexander Bychkov, Boris Dunin-Barkowski, Petr Kazarian, Maxim Shadrin, Sergey Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological expansion. We show that the so-called non-perturbative differentials form a special case of this revisited version of blobbed topological recursion. Furthermore, we prove the KP integrability of the differentials of blobbed topological recursion for the input data that include KP-integrable blobs. This result generalizes, unifies, and gives a new proof of the KP integrability of nonperturbative differentials conjectured by Borot--Eynard and recently proved by the authors. |
| title | Blobbed topological recursion and KP integrability |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2505.03545 |