CMM formula as superintegrability property of unitary model
| Autor: | Mironov, A., Morozov, A., Popolitov, A. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | A typical example of superintegrability is provided by expression of the Hopf link hyperpolynomial in an arbitrary representation through a pair of the Macdonald polynomials at special points. In the simpler case of the Hopf link HOMFLY-PT polynomial and a pair of the Schur functions, it is a relation in the unitary matrix model. We explain that the Cherednik-Mehta-Macdonald (CMM) identity for bilinear Macdonald residues with an elliptic weight function is nothing but a reformulation of these same formulas. Their lifting to arbitrary knots and links, even torus ones remains obscure. Comment: 12 pages |
| Databáze: | arXiv |
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