{"paper":{"title":"Cyclotomic Gaudin models, Miura opers and flag varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"Benoit Vicedo, Sylvain Lacroix","submitted_at":"2016-07-25T18:39:42Z","abstract_excerpt":"Let $\\mathfrak{g}$ be a semisimple Lie algebra over $\\mathbb{C}$. Let $\\nu \\in \\text{Aut}\\, \\mathfrak{g}$ be a diagram automorphism whose order divides $T \\in \\mathbb{Z}_{\\geq 1}$. We define cyclotomic $\\mathfrak{g}$-opers over the Riemann sphere $\\mathbb{P}^1$ as gauge equivalence classes of $\\mathfrak{g}$-valued connections of a certain form, equivariant under actions of the cyclic group $\\mathbb{Z}/ T\\mathbb{Z}$ on $\\mathfrak{g}$ and $\\mathbb{P}^1$. It reduces to the usual notion of $\\mathfrak{g}$-opers when $T = 1$.\n  We also extend the notion of Miura $\\mathfrak{g}$-opers to the cyclotomi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07397","kind":"arxiv","version":2},"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"}