Genus expansion of matrix models and ћ expansion of KP hierarchy

Abstract We study ћ expansion of the KP hierarchy following Takasaki-Takebe [1] considering several examples of matrix model τ-functions with natural genus expansion. Among the examples there are solutions of KP equations of special interest, such as generating function for simple Hurwitz numbers, H...

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Bibliographic Details
Main Authors: A. Andreev, A. Popolitov, A. Sleptsov, A. Zhabin
Format: Article
Language:English
Published: SpringerOpen 2020-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2020)038