{"paper":{"title":"Free field realisation and the chiral universal centraliser","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA","math.RT","math.SG"],"primary_cat":"hep-th","authors_text":"Christopher Beem, Sujay Nair","submitted_at":"2022-08-19T13:52:23Z","abstract_excerpt":"In the TQFT formalism of Moore-Tachikawa for describing Higgs branches of theories of class $\\mathcal{S}$, the space associated to the unpunctured sphere in type $\\mathfrak{g}$ is the universal centraliser $\\mathfrak{Z}_G$, where $\\mathfrak{g}=Lie(G)$. In more physical terms, this space arises as the Coulomb branch of pure $\\mathcal{N}=4$ gauge theory in three dimensions with gauge group $\\check{G}$, the Langlands dual. In the analogous formalism for describing chiral algebras of class $\\mathcal{S}$, the vertex algebra associated to the sphere has been dubbed the \\emph{chiral universal central"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.09343","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/2208.09343/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"}