Remarks on $q$-difference opers arising from quantum toroidal algebras
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929382002524160 |
|---|---|
| author | Feigin, B. Jimbo, M. Mukhin, E. |
| author_facet | Feigin, B. Jimbo, M. Mukhin, E. |
| contents | 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 $\mathfrak{gl}_n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07265 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Remarks on $q$-difference opers arising from quantum toroidal algebras Feigin, B. Jimbo, M. Mukhin, E. Quantum Algebra Mathematical Physics 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 $\mathfrak{gl}_n$. |
| title | Remarks on $q$-difference opers arising from quantum toroidal algebras |
| topic | Quantum Algebra Mathematical Physics |
| url | https://arxiv.org/abs/2406.07265 |