KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model
Mathematical Physics
2021-01-12 v2 High Energy Physics - Theory
Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.2009.10961,
title = {KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model},
author = {Alexander Alexandrov},
journal= {arXiv preprint arXiv:2009.10961},
year = {2021}
}
Comments
83 pages, journal version