Remarks on $q$-difference opers arising from quantum toroidal algebras

التفاصيل البيبلوغرافية
العنوان: Remarks on $q$-difference opers arising from quantum toroidal algebras
المؤلفون: Feigin, B., Jimbo, M., Mukhin, E.
سنة النشر: 2024
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Quantum Algebra, Mathematical Physics
الوصف: We propose a conjectural correspondence between the spectra of the Bethe algebra for the quantum toroidal $\mathfrak{gl}_2$ 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 $\mathfrak{gl}_n$.
Comment: Latex, 30 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.07265
رقم الأكسشن: edsarx.2406.07265
قاعدة البيانات: arXiv