Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.
Hermitian One-Matrix Model and KP Hierarchy
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abstract
The partition functions of Hermitian one-matrix models are known to be tau-functions of the KP hierarchy. In this paper we explicitly compute the elements in Sato grassmannian these tau-functions correspond to, and use them to compute the $n$-point functions of Hermitian one-matrix model.
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math-ph 1years
2019 1verdicts
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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.