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

@article{Alexandrov2020KPIO,
  title={KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model},
  author={A. Alexandrov},
  journal={Analysis and Mathematical Physics},
  year={2020},
  volume={11},
  pages={1-82}
}
  • A. Alexandrov
  • Published 2020
  • Physics, Mathematics
  • Analysis and Mathematical Physics
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… Expand
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