June 11, 2024Open Access

Remarks on q-difference opers arising from quantum toroidal algebras

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Abstract

We propose a conjectural correspondence between the spectra of the Bethe algebra for the quantum toroidal gl₂ 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 glₙ.

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Feigin et al. (Tue,) studied this question.

synapsesocial.com/papers/68e65550b6db6435875e4876 https://doi.org/https://doi.org/10.48550/arxiv.2406.07265

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