Deformation and Quantisation Condition of the Q-Top Recursion

Deformation and Quantisation Condition of the Q-Top Recursion

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 Q -top recursion. We then show a coincidence between a deformation condition and a quantisation condition in...

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Bibliographic Details
Published in:Annales Henri Poincaré Vol. 25; no. 9; pp. 4033 - 4064
Main Author: Osuga, Kento
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 2024
Springer Nature B.V
Subjects:
Classical and Quantum Gravitation
Curves
Deformation effects
Dynamical Systems and Ergodic Theory
Elementary Particles
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Theoretical
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Summary: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 Q -top recursion. We then show a coincidence between a deformation condition and a quantisation condition in terms of the Q -top recursion on a degenerate elliptic curve. We also discuss a relation to the corresponding Nekrasov–Shatashivili effective twisted superpotential.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-024-01421-6