Cherednik-Mehta-Macdonald formula as a superintegrability property of a unitary model
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 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. Published by the American Physical Society 2024
Authors
- A. Morozov
- А. Миронов (ORCID: https://orcid.org/0000-0001-9598-7968)
- A. Popolitov (ORCID: https://orcid.org/0000-0001-8573-991X)
Institutions
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences (RU)
- Kurchatov Institute (RU)
- Institute for Information Transmission Problems (RU)
- Ministry of Industry and Information Technology (CN)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-12-27
- DOI
- https://doi.org/10.1103/physrevd.110.126026
- Citations
- 1
- Primary Topic
- Quantum Mechanics and Non-Hermitian Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.34
Funders
- Russian Foundation for Basic Research
- Foundation for the Advancement of Theoretical Physics and Mathematics
- National Research Center "Kurchatov Institute"