Remarks on q-difference opers arising from quantum toroidal algebras

B. Feigin; M. Jimbo; E. Mukhin

doi:https://doi.org/10.1088/1751-8121/ad8e9c

Remarks on q-difference opers arising from quantum toroidal algebras

B. Feigin, M. Jimbo, E. Mukhin

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 .

Original language	English
Article number	485201
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	57
Issue number	48
DOIs	https://doi.org/10.1088/1751-8121/ad8e9c
State	Published - 29 Nov 2024

Keywords

apparent singularity
Bethe ansatz
q-difference oper
quantum toroidal algebra

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
General Physics and Astronomy

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https://doi.org/10.1088/1751-8121/ad8e9c

Cite this

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AB - 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 .

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JO - Journal of Physics A: Mathematical and Theoretical

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M1 - 485201

ER -

Remarks on q-difference opers arising from quantum toroidal algebras

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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