{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:REZVFGGE2SL46AN6FCQUTB5QRR","short_pith_number":"pith:REZVFGGE","schema_version":"1.0","canonical_sha256":"89335298c4d497cf01be28a14987b08c753231f7c5965026ffebbf084de93407","source":{"kind":"arxiv","id":"2101.02227","version":3},"attestation_state":"computed","paper":{"title":"Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Mendel Nguyen, Mithat \\\"Unsal, Yuya Tanizaki","submitted_at":"2021-01-06T19:04:00Z","abstract_excerpt":"We study a 3d lattice gauge theory with gauge group $\\mathrm{U}(1)^{N-1}\\rtimes \\mathrm{S}_N$, which is obtained by gauging the $\\mathrm{S}_N$ global symmetry of a pure $\\mathrm{U}(1)^{N-1}$ gauge theory, and we call it the semi-Abelian gauge theory. We compute mass gaps and string tensions for both theories using the monopole-gas description. We find that the effective potential receives equal contributions at leading order from monopoles associated with the entire $\\mathrm{SU}(N)$ root system. Even though the center symmetry of the semi-Abelian gauge theory is given by $\\mathbb{Z}_N$, we obs"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2101.02227","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-01-06T19:04:00Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"0a915bc7ec28098601207fff1a9c7dc157da6c1547c555545c4de3190c251cef","abstract_canon_sha256":"e0fb6163e0babfea202d375c3a1a62be4505e506aa8836d67b4c5284b27e2669"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:28:54.962184Z","signature_b64":"+DFLnKD//yiVJhoYsiUSwpLkp00Q5nnoO2jRV9EKoo0sOTEmgyxJ2jQ/3Syq763+MOwIy/rR65xa8cV3+GTXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89335298c4d497cf01be28a14987b08c753231f7c5965026ffebbf084de93407","last_reissued_at":"2026-07-05T02:28:54.961706Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:28:54.961706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Mendel Nguyen, Mithat \\\"Unsal, Yuya Tanizaki","submitted_at":"2021-01-06T19:04:00Z","abstract_excerpt":"We study a 3d lattice gauge theory with gauge group $\\mathrm{U}(1)^{N-1}\\rtimes \\mathrm{S}_N$, which is obtained by gauging the $\\mathrm{S}_N$ global symmetry of a pure $\\mathrm{U}(1)^{N-1}$ gauge theory, and we call it the semi-Abelian gauge theory. We compute mass gaps and string tensions for both theories using the monopole-gas description. We find that the effective potential receives equal contributions at leading order from monopoles associated with the entire $\\mathrm{SU}(N)$ root system. Even though the center symmetry of the semi-Abelian gauge theory is given by $\\mathbb{Z}_N$, we obs"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.02227","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/2101.02227/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2101.02227","created_at":"2026-07-05T02:28:54.961764+00:00"},{"alias_kind":"arxiv_version","alias_value":"2101.02227v3","created_at":"2026-07-05T02:28:54.961764+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.02227","created_at":"2026-07-05T02:28:54.961764+00:00"},{"alias_kind":"pith_short_12","alias_value":"REZVFGGE2SL4","created_at":"2026-07-05T02:28:54.961764+00:00"},{"alias_kind":"pith_short_16","alias_value":"REZVFGGE2SL46AN6","created_at":"2026-07-05T02:28:54.961764+00:00"},{"alias_kind":"pith_short_8","alias_value":"REZVFGGE","created_at":"2026-07-05T02:28:54.961764+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.05543","citing_title":"Notes on (-2)-form symmetries","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2204.02407","citing_title":"Higher Gauging and Non-invertible Condensation Defects","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2111.01139","citing_title":"Non-Invertible Duality Defects in 3+1 Dimensions","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2308.00747","citing_title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","ref_index":229,"is_internal_anchor":false},{"citing_arxiv_id":"2508.00050","citing_title":"Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries","ref_index":23,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR","json":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR.json","graph_json":"https://pith.science/api/pith-number/REZVFGGE2SL46AN6FCQUTB5QRR/graph.json","events_json":"https://pith.science/api/pith-number/REZVFGGE2SL46AN6FCQUTB5QRR/events.json","paper":"https://pith.science/paper/REZVFGGE"},"agent_actions":{"view_html":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR","download_json":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR.json","view_paper":"https://pith.science/paper/REZVFGGE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2101.02227&json=true","fetch_graph":"https://pith.science/api/pith-number/REZVFGGE2SL46AN6FCQUTB5QRR/graph.json","fetch_events":"https://pith.science/api/pith-number/REZVFGGE2SL46AN6FCQUTB5QRR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR/action/storage_attestation","attest_author":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR/action/author_attestation","sign_citation":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR/action/citation_signature","submit_replication":"https://pith.science/pith/REZVFGGE2SL46AN6FCQUTB5QRR/action/replication_record"}},"created_at":"2026-07-05T02:28:54.961764+00:00","updated_at":"2026-07-05T02:28:54.961764+00:00"}