KP integrability of non-perturbative differentials
We prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal ℏ -deformation of the Krichever construction of algebro-geometric solutions of the KP hierarchy. This property goes back to a 2011 conjecture of Borot and Eynard.
Authors
- Petr Dunin‐Barkowski (ORCID: https://orcid.org/0000-0003-1475-0534)
- Boris Sergeevich Bychkov (ORCID: https://orcid.org/0000-0002-4441-9343)
- A. Alexandrov (ORCID: https://orcid.org/0000-0002-8464-254X)
- Maxim Eduardovich Kazarian (ORCID: https://orcid.org/0000-0002-3928-8799)
- Sergey Viktorovich Shadrin (ORCID: https://orcid.org/0000-0002-4139-9754)
Institutions
- National Research University Higher School of Economics (RU)
- Institute for Basic Science (KR)
- University of Amsterdam (NL)
- University of Haifa (IL)
Publication Details
- Journal
- Journal de l’École polytechnique — Mathématiques
- Published
- 2026-10-15
- DOI
- https://doi.org/10.5802/jep.356
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Israel Science Foundation
- Russian Science Foundation
- Institute for Basic Science