Work

On bilinear superintegrability for monomial matrix models in pure phase

Year: 2023

Type: article

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.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-023-12346-5

Authors: C.-T. Chan, V. Mishnyakov, A. Popolitov, K. Tsybikov

Institutions: Tunghai University, Moscow Institute of Physics and Technology, Kurchatov Institute, Institute for Information Transmission Problems, Institute for Theoretical and Experimental Physics

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Russian Foundation for Basic Research

Awards: G1344660904, G7741616735