{"paper":{"title":"$\\widehat{\\mathfrak{sl}}(n)_N$ WZW conformal blocks from $SU(N)$ instanton partition functions on ${\\mathbb {C}}^2/{\\mathbb {Z}}_n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Masahide Manabe, Nicholas Macleod, Omar Foda, Trevor Welsh","submitted_at":"2019-12-09T22:25:54Z","abstract_excerpt":"Generalizations of the AGT correspondence between 4D $\\mathcal{N}=2$ $SU(2)$ supersymmetric gauge theory on ${\\mathbb {C}}^2$ with $\\Omega$-deformation and 2D Liouville conformal field theory include a correspondence between 4D $\\mathcal{N}=2$ $SU(N)$ supersymmetric gauge theories, $N = 2, 3, \\ldots$, on ${\\mathbb {C}}^2/{\\mathbb {Z}}_n$, $n = 2, 3, \\ldots$, with $\\Omega$-deformation and 2D conformal field theories with $\\mathcal{W}^{\\, para}_{N, n}$ ($n$-th parafermion $\\mathcal{W}_N$) symmetry and $\\widehat{\\mathfrak{sl}}(n)_N$ symmetry. In this work, we trivialize the factor with $\\mathcal{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.04407","kind":"arxiv","version":3},"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/1912.04407/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"}