Deformation and quantisation condition of the $\mathscr{Q}$-top recursion

Deformation and quantisation condition of the $\mathscr{Q}$-top recursion

Ann. Henri Poincar\'e (2024) We consider a deformation of a family of hyperelliptic refined spectral curves and investigate how deformation effects appear in the hyperelliptic refined topological recursion as well as the $\mathscr{Q}$-top recursion. We then show a coincidence between a deformat...

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Bibliographic Details
Main Author: Osuga, Kento
Format: Journal Article
Language:English
Published: 05-07-2023
Subjects:
Mathematics - Algebraic Geometry
Mathematics - Mathematical Physics
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
Online Access:Get full text
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Summary:Ann. Henri Poincar\'e (2024) We consider a deformation of a family of hyperelliptic refined spectral curves and investigate how deformation effects appear in the hyperelliptic refined topological recursion as well as the $\mathscr{Q}$-top recursion. We then show a coincidence between a deformation condition and a quantisation condition in terms of the $\mathscr{Q}$-top recursion on a degenerate elliptic curve. We also discuss a relation to the corresponding Nekrasov-Shatashivili effective twisted superpotential.
DOI:10.48550/arxiv.2307.02112