{"paper":{"title":"Affine q-deformed symmetry and the classical Yang-Baxter sigma-model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Benoit Vicedo, Francois Delduc, Marc Magro, Takashi Kameyama","submitted_at":"2017-01-13T14:43:12Z","abstract_excerpt":"The Yang-Baxter $\\sigma$-model is an integrable deformation of the principal chiral model on a Lie group $G$. The deformation breaks the $G \\times G$ symmetry to $U(1)^{\\textrm{rank}(G)} \\times G$. It is known that there exist non-local conserved charges which, together with the unbroken $U(1)^{\\textrm{rank}(G)}$ local charges, form a Poisson algebra $\\mathscr U_q(\\mathfrak{g})$, which is the semiclassical limit of the quantum group $U_q(\\mathfrak{g})$, with $\\mathfrak{g}$ the Lie algebra of $G$. For a general Lie group $G$ with rank$(G)>1$, we extend the previous result by constructing local "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03691","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"}