On bilinear superintegrability for monomial matrix models in pure phase
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916093843472384 |
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| author | Chan, C. -T. Mishnyakov, V. Popolitov, A. Tsybikov, K. |
| author_facet | Chan, C. -T. Mishnyakov, V. Popolitov, A. Tsybikov, K. |
| contents | We argue that the recently discovered bilinear superintegrability arXiv:2206.02045 generalizes, in a non-trivial way, to monomial matrix models in pure phase. The structure is much richer: for the trivial core Schur functions required modifications are minor, and the only new ingredient is a certain (contour-dependent) permutation matrix; for non-trivial-core Schur functions, in both bi-linear and tri-linear averages the deformation is more complicated: averages acquire extra N-dependent factors and selection rule is less straightforward to imply. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02639 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On bilinear superintegrability for monomial matrix models in pure phase Chan, C. -T. Mishnyakov, V. Popolitov, A. Tsybikov, K. High Energy Physics - Theory Mathematical Physics We argue that the recently discovered bilinear superintegrability arXiv:2206.02045 generalizes, in a non-trivial way, to monomial matrix models in pure phase. The structure is much richer: for the trivial core Schur functions required modifications are minor, and the only new ingredient is a certain (contour-dependent) permutation matrix; for non-trivial-core Schur functions, in both bi-linear and tri-linear averages the deformation is more complicated: averages acquire extra N-dependent factors and selection rule is less straightforward to imply. |
| title | On bilinear superintegrability for monomial matrix models in pure phase |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2310.02639 |