{"paper":{"title":"Conformal embeddings in affine vertex superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"math.RT","authors_text":"Dra\\v{z}en Adamovi\\'c, Ozren Per\\v{s}e, Paolo Papi, Pierluigi M\\\"oseneder Frajria","submitted_at":"2019-03-09T12:55:26Z","abstract_excerpt":"This paper is a natural continuation of our previous work on conformal embeddings of vertex algebras [6], [7], [8]. Here we consider conformal embeddings in simple affine vertex superalgebra $V_k(\\mathfrak g)$ where $\\mathfrak g=\\mathfrak g_{\\bar 0}\\oplus \\mathfrak g_{\\bar 1}$ is a basic classical simple Lie superalgebras. Let $\\mathcal V_k (\\mathfrak g_{\\bar 0})$ be the subalgebra of $V_k(\\mathfrak g)$ generated by $\\mathfrak g_{\\bar 0}$. We first classify all levels $k$ for which the embedding $\\mathcal V_k (\\mathfrak g_{\\bar 0})$ in $V_k(\\mathfrak g)$ is conformal. Next we prove that, for a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03794","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1903.03794/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}