{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:DNDUGM2KZCMRW5VID2AY7GQQYD","short_pith_number":"pith:DNDUGM2K","schema_version":"1.0","canonical_sha256":"1b4743334ac8991b76a81e818f9a10c0c57d8e8327153262102e08dc1b2b3e81","source":{"kind":"arxiv","id":"2306.15783","version":2},"attestation_state":"computed","paper":{"title":"Non-Invertible Symmetries, Brane Dynamics, and Tachyon Condensation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Enoch Leung, Ibrahima Bah, Thomas Waddleton","submitted_at":"2023-06-27T20:10:13Z","abstract_excerpt":"We study the Symmetry Topological Field Theory in holography associated with 4d $\\mathcal{N}=1$ Super Yang-Mills theory with gauge algebra $\\mathfrak{su}(M)$. From this, all the bulk symmetry operators are computed and matched to various D-brane configurations. The fusion algebra of the operators emerges from brane dynamics. In particular, we show that the symmetry operators are purely determined from the center-of-mass modes of the branes. We identify the TQFT fusion coefficients with the relative motion of the branes. We also establish the origin of condensation defects, arising from fusion "},"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":"2306.15783","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-27T20:10:13Z","cross_cats_sorted":[],"title_canon_sha256":"71148f4f5ef1fc2efbe909d11e066e6b783da10a49e45aa14d0d2909841a4ed3","abstract_canon_sha256":"996a463539242c568285511f2fcc3c08bf370e920fa5087c1391ae0cc5651ba4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:36:52.120944Z","signature_b64":"FVx1QVx5mXtFcc4+E1Az8nhx9gioRBIvfmiu2b903JnIijtAdUrco7IFBfBHS1mxHExxt5OOW/iPZ1NXZu8gCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b4743334ac8991b76a81e818f9a10c0c57d8e8327153262102e08dc1b2b3e81","last_reissued_at":"2026-07-05T07:36:52.120472Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:36:52.120472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Invertible Symmetries, Brane Dynamics, and Tachyon Condensation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Enoch Leung, Ibrahima Bah, Thomas Waddleton","submitted_at":"2023-06-27T20:10:13Z","abstract_excerpt":"We study the Symmetry Topological Field Theory in holography associated with 4d $\\mathcal{N}=1$ Super Yang-Mills theory with gauge algebra $\\mathfrak{su}(M)$. From this, all the bulk symmetry operators are computed and matched to various D-brane configurations. The fusion algebra of the operators emerges from brane dynamics. In particular, we show that the symmetry operators are purely determined from the center-of-mass modes of the branes. We identify the TQFT fusion coefficients with the relative motion of the branes. We also establish the origin of condensation defects, arising from fusion "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.15783","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/2306.15783/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":"2306.15783","created_at":"2026-07-05T07:36:52.120529+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.15783v2","created_at":"2026-07-05T07:36:52.120529+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.15783","created_at":"2026-07-05T07:36:52.120529+00:00"},{"alias_kind":"pith_short_12","alias_value":"DNDUGM2KZCMR","created_at":"2026-07-05T07:36:52.120529+00:00"},{"alias_kind":"pith_short_16","alias_value":"DNDUGM2KZCMRW5VI","created_at":"2026-07-05T07:36:52.120529+00:00"},{"alias_kind":"pith_short_8","alias_value":"DNDUGM2K","created_at":"2026-07-05T07:36:52.120529+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2308.00747","citing_title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","ref_index":132,"is_internal_anchor":false},{"citing_arxiv_id":"2307.07547","citing_title":"Lectures on Generalized Symmetries","ref_index":177,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06653","citing_title":"From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs","ref_index":73,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD","json":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD.json","graph_json":"https://pith.science/api/pith-number/DNDUGM2KZCMRW5VID2AY7GQQYD/graph.json","events_json":"https://pith.science/api/pith-number/DNDUGM2KZCMRW5VID2AY7GQQYD/events.json","paper":"https://pith.science/paper/DNDUGM2K"},"agent_actions":{"view_html":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD","download_json":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD.json","view_paper":"https://pith.science/paper/DNDUGM2K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.15783&json=true","fetch_graph":"https://pith.science/api/pith-number/DNDUGM2KZCMRW5VID2AY7GQQYD/graph.json","fetch_events":"https://pith.science/api/pith-number/DNDUGM2KZCMRW5VID2AY7GQQYD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD/action/storage_attestation","attest_author":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD/action/author_attestation","sign_citation":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD/action/citation_signature","submit_replication":"https://pith.science/pith/DNDUGM2KZCMRW5VID2AY7GQQYD/action/replication_record"}},"created_at":"2026-07-05T07:36:52.120529+00:00","updated_at":"2026-07-05T07:36:52.120529+00:00"}