Tau functions of the UC hierarchy as partition functions of matrix models
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909936035823616 |
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| author | Li, Chuanzhong Mironov, Andrei Orlov, Alexander Yu. |
| author_facet | Li, Chuanzhong Mironov, Andrei Orlov, Alexander Yu. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_12867 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tau functions of the UC hierarchy as partition functions of matrix models Li, Chuanzhong Mironov, Andrei Orlov, Alexander Yu. High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems 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. |
| title | Tau functions of the UC hierarchy as partition functions of matrix models |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2506.12867 |