KP integrability of non-perturbative differentials

2024/12/24 by Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr +2 · 2 citations
#Algebraic Geometry (math.AG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2412.18592

Abstract

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.

Cited by

• Quantum Curve for strip geometries, Topological Recursion and open GW/DT invariants
• GW/DT invariants and 5D BPS indices for strips from topological recursion

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