{"paper":{"title":"Loop Virasoro Lie Conformal Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Henan Wu, Qiufan Chen, Xiaoqing Yue","submitted_at":"2013-11-01T07:05:33Z","abstract_excerpt":"The Lie conformal algebra of loop Virasoro algebra, denoted by $\\mathscr{CW}$, is introduced in this paper. Explicitly, $\\mathscr{CW}$ is a Lie conformal algebra with $\\mathbb{C}[\\partial]$-basis $\\{L_i\\,|\\,i\\in\\mathbb{C}\\}$ and $\\lambda$-brackets $[L_i\\, {}_\\lambda \\, L_j]=(-\\partial-2\\lambda) L_{i+j}$. Then conformal derivations of $\\mathscr{CW}$ are determined. Finally, rank one conformal modules and $\\mathbb{Z}$-graded free intermediate series modules over $\\mathscr{CW}$ are classified."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0106","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"}