Tau functions of the UC hierarchy as partition functions of matrix models
Chuanzhong Li, Andrei Mironov, Alexander Yu. Orlov
公開日: 2025/6/15
Abstract
We present a family of matrix models such that their partition functions are tau functions of the universal character (UC) hierarchy. This develops one of the topics of our previous paper arXiv:2410.14823. We found new matrix models associated with the product of two spheres with embedded graphs via a gluing matrix. We also generalize these studies to multi-matrix models case, which corresponds to the multi-component UC hierarchy.