{"paper":{"title":"Affine Yangians as Limits of Quantum Toroidal Algebras","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.QA","authors_text":"Hongda Lin, Iryna Kashuba, Luan Bezerra","submitted_at":"2026-05-13T01:29:28Z","abstract_excerpt":"We establish a degeneration isomorphism between quantum toroidal algebras and untwisted affine Yangians, valid for all untwisted affine Kac-Moody Lie algebras. Specifically, we prove that the affine Yangian $Y_\\hbar(\\mathfrak{g})$ is isomorphic, as a $\\mathbb{C}[\\hbar]$-algebra, to the associated graded algebra of the quantum toroidal algebra $U_\\hbar(\\mathfrak{g}^{\\mathrm{tor}})$ with respect to a canonical filtration. This result constitutes the affine analogue of Drinfeld's conjecture on the relationship between Yangians and quantum loop algebras, previously established in the finite-dimens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.12871","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}