On higher Brézin-Gross-Witten tau-functions
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866916668073050112 |
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| author | Alexandrov, Alexander Dhara, Saswati |
| author_facet | Alexandrov, Alexander Dhara, Saswati |
| contents | In this paper, we consider the higher Brézin--Gross--Witten tau-functions, given by the matrix integrals. For these tau-functions we construct the canonical Kac--Schwarz operators, quantum spectral curves, and $W^{(3)}$-constraints. For the simplest representative we construct the cut-and-join operators, which describe the algebraic version of the topological recursion. We also investigate a one-parametric generalization of the higher Brézin--Gross--Witten tau-functions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2204_12273 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On higher Brézin-Gross-Witten tau-functions Alexandrov, Alexander Dhara, Saswati Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 37K10, 14N35, 81R10, 05A15 In this paper, we consider the higher Brézin--Gross--Witten tau-functions, given by the matrix integrals. For these tau-functions we construct the canonical Kac--Schwarz operators, quantum spectral curves, and $W^{(3)}$-constraints. For the simplest representative we construct the cut-and-join operators, which describe the algebraic version of the topological recursion. We also investigate a one-parametric generalization of the higher Brézin--Gross--Witten tau-functions. |
| title | On higher Brézin-Gross-Witten tau-functions |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 37K10, 14N35, 81R10, 05A15 |
| url | https://arxiv.org/abs/2204.12273 |