{"paper":{"title":"Non-unitary TQFTs from 3D $\\mathcal{N}=4$ rank 0 SCFTs","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"hep-th","authors_text":"Dongmin Gang, Kimyeong Lee, Masahito Yamazaki, Myungbo Shim, Sungjoon Kim","submitted_at":"2021-03-16T19:00:09Z","abstract_excerpt":"We propose a novel procedure of assigning a pair of non-unitary topological quantum field theories (TQFTs), TFT$_\\pm [\\mathcal{T}_{\\rm rank \\;0}]$, to a (2+1)D interacting $\\mathcal{N}=4$ superconformal field theory (SCFT) $\\mathcal{T}_{\\rm rank \\;0}$ of rank 0, i.e. having no Coulomb and Higgs branches. The topological theories arise from particular degenerate limits of the SCFT. Modular data of the non-unitary TQFTs are extracted from the supersymmetric partition functions in the degenerate limits. As a non-trivial dictionary, we propose that $F = \\max_\\alpha \\left(- \\log |S^{(+)}_{0\\alpha}|"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.09283","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/2103.09283/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"}