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Here we study 2-group symmetries of 3-dimensional TQFTs. We explain that these symmetries can be gauged to produce new TQFTs iff certain defects satisfy the axioms of orbifold data. In the special case of Reshetikhin-Turaev theories coming from $G$-crossed braided fusion categories $\\mathcal C^\\times_G$, we show that there are 0- and 1-form symmetries which have no obstructions to gauging. 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We prove that gauging the 0-form G-symmetry on the neutral component C_e of C^×_G produces its equivariantisation (C^×_G)^G, which in turn features a generalised symmetry whose gauging recovers C_e.","weakest_assumption":"These symmetries can be gauged to produce new TQFTs iff certain defects satisfy the axioms of orbifold data."}},"verdict_id":"0b7bff58-c00c-4910-9bd5-ae56ca48fc30"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1bd514aef99340956c8abc7f05bc6dbee0c4da15a1f9baf588620eb46787fd48","target":"record","created_at":"2026-05-20T01:04:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"fa2c2fb5b1223b4bcfee38acd9096e20bda5aa5f5b9806fb446c8239d078918f","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.QA","submitted_at":"2025-06-09T19:42:49Z","title_canon_sha256":"676a4b945b30b70334289df393f54f467897743d8217b097cd8f881b7277c6ca"},"schema_version":"1.0","source":{"id":"2506.08178","kind":"arxiv","version":1}},"canonical_sha256":"7200c9dcbbbc2cf1997b8ff07a70d47c68d1b7f8baf8db935df26c88a1582fd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7200c9dcbbbc2cf1997b8ff07a70d47c68d1b7f8baf8db935df26c88a1582fd7","first_computed_at":"2026-05-20T01:04:55.009934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:04:55.009934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IeZ8vxyBq9brg4EqvSlwEeyfMK6MoisVs6LAy/GlrcLgveWwGTxeckEQnvE6nMh7LEUGGwf2Ra+49TulDEj6BQ==","signature_status":"signed_v1","signed_at":"2026-05-20T01:04:55.010977Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.08178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bd514aef99340956c8abc7f05bc6dbee0c4da15a1f9baf588620eb46787fd48","sha256:723662c47f09269ca7a19b2d09e3da485b588724c9698024d88ca3fdbebd8fb5"],"state_sha256":"3a75f724e2e9f1575dfcbf609d15c669cfc49889f2e68d377f10b5a28ca736a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PHJxjJTnk5Z5XJBm4Mc3ox1gjrIdy4Fd04/ph3HvE3JrSRNYl9A3XYtOI6L6ge/Gf4+USTXBLNJMDWbTAuIwBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T10:48:01.374916Z","bundle_sha256":"9cf77ae0eae6896738c44195fe66938370b958bc36b766222bec3e51467c72c6"}}