{"paper":{"title":"On some vertex algebras related to $V_{-1}(\\frak{sl} (n) )$ and their characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Antun Milas, Drazen Adamovic","submitted_at":"2018-05-24T16:45:46Z","abstract_excerpt":"We consider several vertex operator (super)algebras closely related to $V_{-1}(\\frak{sl} (n) )$, $n \\ge 3$ : (a) the parafermionic subalgebra $K(\\frak{sl}(n),-1)$ for which we completely describe its inner structure, (b) the vacuum algebra $\\Omega (V_{-1}(\\frak{sl} (n) ) )$, and (c) an infinite extension $\\mathcal U$ of $V_{-1}(\\frak{sl} (n) )$ constructed by combining certain irreducible ordinary modules with integral weights. It turns out that $\\mathcal U$ is isomorphic to the coset vertex algebra $\\frak{psl}(n|n) _1 / \\frak{sl}(n)_1$, $n \\ge 3$. We show that $V_{-1}(\\frak{sl}(n))$ admits pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09771","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"}