Matrix models for the nested hypergeometric tau-functions
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911248736583680 |
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| author | Alexandrov, Alexander |
| author_facet | Alexandrov, Alexander |
| contents | We introduce and investigate a family of tau-functions of the 2D Toda hierarchy, which is a natural generalization of the hypergeometric family associated with Hurwitz numbers. For this family we prove a skew Schur function expansion formula. For arbitrary rational weight generating functions we construct the multi-matrix models. Two different types of cut-and-join descriptions are derived. Considered examples include generalized fully simple maps, which we identify with the recently introduced skew hypergeometric tau-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_03051 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Matrix models for the nested hypergeometric tau-functions Alexandrov, Alexander Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 37K10, 14N10, 81R10, 81T32, 05A15 We introduce and investigate a family of tau-functions of the 2D Toda hierarchy, which is a natural generalization of the hypergeometric family associated with Hurwitz numbers. For this family we prove a skew Schur function expansion formula. For arbitrary rational weight generating functions we construct the multi-matrix models. Two different types of cut-and-join descriptions are derived. Considered examples include generalized fully simple maps, which we identify with the recently introduced skew hypergeometric tau-functions. |
| title | Matrix models for the nested hypergeometric tau-functions |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 37K10, 14N10, 81R10, 81T32, 05A15 |
| url | https://arxiv.org/abs/2304.03051 |