Work

Cherednik-Mehta-Macdonald formula as a superintegrability property of a unitary model

Year: 2024

Type: article

Abstract: 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

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.126026

Authors: A. Mironov, A. Morozov, A. Popolitov

Institutions: P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Kurchatov Institute, Institute for Information Transmission Problems, Moscow Institute of Physics and Technology

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Russian Foundation for Basic Research, Foundation for the Advancement of Theoretical Physics and Mathematics, National Research Center "Kurchatov Institute"

Awards: G1344660904, G229232951