Work

Remarks on q-difference opers arising from quantum toroidal algebras

Year: 2024

Type: article

Abstract: We propose a conjectural correspondence between the spectra of the Bethe algebra for the quantum toroidal gl 2 algebra on relaxed Verma modules, and q-hypergeometric opers with apparent singularities. We introduce alongside the notion of apparent singularities for linear q-difference operators and discuss some of their properties. We also touch on a generalization to gl n .

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ad8e9c

Authors: B Feigin, M Jimbo, E Mukhin

Institutions: Hebrew University of Jerusalem, Rikkyo University, Indiana University Indianapolis

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,165

Funders: Simons Foundation, Rikkyo University, National Research University Higher School of Economics, Japan Society for the Promotion of Science