On bilinear superintegrability for monomial matrix models in pure phase
Abstract We argue that the recently discovered bilinear superintegrability http://arxiv.org/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 ing...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12346-5 |
| _version_ | 1797233300338638848 |
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| author | C.-T. Chan V. Mishnyakov A. Popolitov K. Tsybikov |
| author_facet | C.-T. Chan V. Mishnyakov A. Popolitov K. Tsybikov |
| author_sort | C.-T. Chan |
| collection | DOAJ |
| description | Abstract We argue that the recently discovered bilinear superintegrability http://arxiv.org/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. |
| first_indexed | 2024-03-08T19:44:06Z |
| format | Article |
| id | doaj.art-113140383d194be78927eab41cad89a2 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:13:59Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-113140383d194be78927eab41cad89a22024-03-31T11:31:14ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-12-0183121710.1140/epjc/s10052-023-12346-5On bilinear superintegrability for monomial matrix models in pure phaseC.-T. Chan0V. Mishnyakov1A. Popolitov2K. Tsybikov3Department of Applied Physics, Tunghai UniversityMoscow Institute of Physics and TechnologyMoscow Institute of Physics and TechnologyMoscow Institute of Physics and TechnologyAbstract We argue that the recently discovered bilinear superintegrability http://arxiv.org/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.https://doi.org/10.1140/epjc/s10052-023-12346-5 |
| spellingShingle | C.-T. Chan V. Mishnyakov A. Popolitov K. Tsybikov On bilinear superintegrability for monomial matrix models in pure phase European Physical Journal C: Particles and Fields |
| title | On bilinear superintegrability for monomial matrix models in pure phase |
| title_full | On bilinear superintegrability for monomial matrix models in pure phase |
| title_fullStr | On bilinear superintegrability for monomial matrix models in pure phase |
| title_full_unstemmed | On bilinear superintegrability for monomial matrix models in pure phase |
| title_short | On bilinear superintegrability for monomial matrix models in pure phase |
| title_sort | on bilinear superintegrability for monomial matrix models in pure phase |
| url | https://doi.org/10.1140/epjc/s10052-023-12346-5 |
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