KP integrability of non-perturbative differentials
Mathematical Physics
2025-06-24 v2 High Energy Physics - Theory
Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
We prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal -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.
Keywords
Cite
@article{arxiv.2412.18592,
title = {KP integrability of non-perturbative differentials},
author = {Alexander Alexandrov and Boris Bychkov and Petr Dunin-Barkowski and Maxim Kazarian and Sergey Shadrin},
journal= {arXiv preprint arXiv:2412.18592},
year = {2025}
}
Comments
22 pages, v2: corrected typos and improved presentation