标题： 矩阵模型作为可积方程UC层次的tau函数。 II 显示英文标题

标题： Matrix models as tau functions of the UC hierarchy of integrable equations. II

摘要： 我们提出了一类矩阵模型，其划分函数是通用字符（UC）层次的tau函数。 这发展了我们之前论文arXiv:2410.14823中的一个主题。 我们通过粘合矩阵发现了与嵌入图的两个球面乘积相关的新矩阵模型。 我们还将这些研究推广到多矩阵模型的情况，这对应于多分量UC层次。 显示英文摘要

摘要： 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.