{"paper":{"title":"$q$-nonabelianization for line defects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.QA","math.RT"],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Fei Yan","submitted_at":"2020-02-19T19:00:30Z","abstract_excerpt":"We consider the $q$-nonabelianization map, which maps links $L$ in a 3-manifold $M$ to links $\\widetilde{L}$ in a branched $N$-fold cover $\\widetilde{M}$. In quantum field theory terms, $q$-nonabelianization is the UV-IR map relating two different sorts of defect: in the UV we have the six-dimensional $(2,0)$ superconformal field theory of type $\\mathfrak{gl}(N)$ on $M \\times \\mathbb{R}^{2,1}$, and we consider surface defects placed on $L \\times \\{x^4 = x^5 = 0\\}$; in the IR we have the $(2,0)$ theory of type $\\mathfrak{gl}(1)$ on $\\widetilde{M} \\times \\mathbb{R}^{2,1}$, and put the defects on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.08382","kind":"arxiv","version":1},"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/2002.08382/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"}