Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.
Fat and Thin Emergent Geometries of Hermitian One-Matrix Models
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abstract
We use genus zero free energy functions of Hermitian matrix models to define spectral curves and their special deformations. They are special plane curves defined by formal power series with integral coefficients generalizing the Catalan numbers. This is done in two different versions, depending on two different genus expansions, and these two versions are in some sense dual to each other.
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math-ph 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Grothendieck's Dessins d'Enfants in a Web of Dualities. II
Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.