Any topological recursion on a rational spectral curve is KP integrable
Abstract
We prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the $r$-th roots of the twisted powers of the log canonical bundles.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.07391
- arXiv:
- arXiv:2406.07391
- Bibcode:
- 2024arXiv240607391A
- Keywords:
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- Mathematical Physics;
- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 13 pages