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arXiv · 2009.10961

KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model

Alexander Alexandrov
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Abstract

In this paper we introduce a new family of the KP tau-functions. This family can be described by a deformation of the generalized Kontsevich matrix model. We prove that the simplest representative of this family describes a generating function of the cubic Hodge integrals satisfying the Calabi-Yau condition, and claim that the whole family describes its generalization for the higher spin cases. To investigate this family we construct a new description of the Sato Grassmannian in terms of a canonical pair of the Kac-Schwarz operators.

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Alexander Alexandrov. 2021-01-09. KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model. https://doi.org/10.1007/s13324-020-00451-7

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