Superintegrability of the Wilson family of matrix models and moments of multivariable orthogonal polynomials
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910764899500032 |
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| author | Mishnyakov, Victor |
| author_facet | Mishnyakov, Victor |
| contents | We present new examples of superintegrable matrix/eigenvalue models. These examples arise as a result of the exploration of the relationship between the theory of superintegrability and multivariate orthogonal polynomials. The new superintegrable examples are built upon the multivariate generalizations of the Meixner-Pollaczek and Wilson polynomials and their respective measures. From the perspective of multivariate orthogonal polynomials in this work we propose expressions for (generalized) moments of the respective multi-variable measures. From the perspective of superintegrability we uncover a couple of new phenomena such as the deviation from Schur polynomials as the superintegrable basis without any deformation and new combinatorial structures appearing in the answers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19574 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superintegrability of the Wilson family of matrix models and moments of multivariable orthogonal polynomials Mishnyakov, Victor Mathematical Physics High Energy Physics - Theory We present new examples of superintegrable matrix/eigenvalue models. These examples arise as a result of the exploration of the relationship between the theory of superintegrability and multivariate orthogonal polynomials. The new superintegrable examples are built upon the multivariate generalizations of the Meixner-Pollaczek and Wilson polynomials and their respective measures. From the perspective of multivariate orthogonal polynomials in this work we propose expressions for (generalized) moments of the respective multi-variable measures. From the perspective of superintegrability we uncover a couple of new phenomena such as the deviation from Schur polynomials as the superintegrable basis without any deformation and new combinatorial structures appearing in the answers. |
| title | Superintegrability of the Wilson family of matrix models and moments of multivariable orthogonal polynomials |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.19574 |