{"paper":{"title":"Fully local Reshetikhin-Turaev theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"Claudia I. Scheimbauer, Constantin Teleman, Daniel S. Freed","submitted_at":"2026-01-09T04:14:52Z","abstract_excerpt":"We define a symmetric tensor enhancement $\\mathrm{E}\\mathbb{F}$ with full duals of the 3-category $\\mathbb{F}$ of fusion categories in which every Reshetikhin--Turaev theory has a fully local realization. Our $\\mathrm{E}\\mathbb{F}$ is a direct sum of invertible $\\mathbb{F}$-modules, indexed by a $\\mu_6$-extension of the Witt group $W$ of non-degenerate braided fusion categories. Similarly, we enhance the 3-category $S\\mathbb{F}$ of fusion super-categories to a symmetric tensor 3-category $\\mathrm{E} S\\mathbb{F}$ with full duals, which is a sum of invertible $S\\mathbb{F}$-modules, indexed by an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.05518","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/2601.05518/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"}