{"paper":{"title":"VOAs labelled by complex reflection groups and 4d SCFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"hep-th","authors_text":"Carlo Meneghelli, Federico Bonetti, Leonardo Rastelli","submitted_at":"2018-10-08T18:00:00Z","abstract_excerpt":"We define and study a class of $\\mathcal{N}=2$ vertex operator algebras $\\mathcal{W}_{\\mathcal{\\mathsf{G}}}$ labelled by complex reflection groups. They are extensions of the $\\mathcal{N}=2$ super Virasoro algebra obtained by introducing additional generators, in correspondence with the invariants of the complex reflection group $\\mathcal{\\mathsf{G}}$. If $\\mathcal{\\mathsf{G}}$ is a Coxeter group, the $\\mathcal{N}=2$ super Virasoro algebra enhances to the (small) $\\mathcal{N}=4$ superconformal algebra. With the exception of $\\mathcal{\\mathsf{G}} = \\mathbb{Z}_2$, which corresponds to just the $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03612","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"}