{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:JQ7RXZKUBI3W22X6D3ZJF444E6","short_pith_number":"pith:JQ7RXZKU","schema_version":"1.0","canonical_sha256":"4c3f1be5540a376d6afe1ef292f39c279a599d950032348a9a1df01e1591a071","source":{"kind":"arxiv","id":"2411.11962","version":1},"attestation_state":"computed","paper":{"title":"The Nahm transform of multi-fractional instantons","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Erich Poppitz, Mohamed M. Anber","submitted_at":"2024-11-18T19:00:05Z","abstract_excerpt":"We embed the multi-fractional instantons of $SU(N)$ gauge theories on $\\mathbb T^4$ with 't Hooft twisted boundary conditions into $U(N)$ bundles and use the Nahm transform to study the corresponding configurations on the dual $\\widehat{\\mathbb T}^4$. We first show that $SU(N)$ fractional instantons of topological charge $Q={r \\over N}$, $r \\in \\{1, 2,...,N-1\\}$, are mapped to fractional instantons of $SU(\\widehat N)$ of charge $\\widehat Q = {r \\over \\widehat N}$, where $\\widehat N = N q_1 q_3 - r q_3 + q_1$ and $q_{1,3}$ are integer-quantized $U(1)$ fluxes. We then explicitly construct the Na"},"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":"2411.11962","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-18T19:00:05Z","cross_cats_sorted":["hep-lat","math-ph","math.MP"],"title_canon_sha256":"03caa58b8d68c3ac45287f274ffa37936679d35d0460a18f543e71900663f657","abstract_canon_sha256":"af6659f75e2bcc26c5fc36c94bc2853026be976cb81ad01fa71386c19d21d40d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:37:14.544396Z","signature_b64":"BFldPBz3tWqjNV8cj1w052ZDkJdd76gfNIkD95udsTj9sa40S3VwnvyZ7sXMDrxA6X2dOYcdWD7QDqQvHFGCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c3f1be5540a376d6afe1ef292f39c279a599d950032348a9a1df01e1591a071","last_reissued_at":"2026-07-05T09:37:14.543930Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:37:14.543930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Nahm transform of multi-fractional instantons","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Erich Poppitz, Mohamed M. Anber","submitted_at":"2024-11-18T19:00:05Z","abstract_excerpt":"We embed the multi-fractional instantons of $SU(N)$ gauge theories on $\\mathbb T^4$ with 't Hooft twisted boundary conditions into $U(N)$ bundles and use the Nahm transform to study the corresponding configurations on the dual $\\widehat{\\mathbb T}^4$. We first show that $SU(N)$ fractional instantons of topological charge $Q={r \\over N}$, $r \\in \\{1, 2,...,N-1\\}$, are mapped to fractional instantons of $SU(\\widehat N)$ of charge $\\widehat Q = {r \\over \\widehat N}$, where $\\widehat N = N q_1 q_3 - r q_3 + q_1$ and $q_{1,3}$ are integer-quantized $U(1)$ fluxes. We then explicitly construct the Na"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.11962","kind":"arxiv","version":1},"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/2411.11962/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":"2411.11962","created_at":"2026-07-05T09:37:14.543988+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.11962v1","created_at":"2026-07-05T09:37:14.543988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.11962","created_at":"2026-07-05T09:37:14.543988+00:00"},{"alias_kind":"pith_short_12","alias_value":"JQ7RXZKUBI3W","created_at":"2026-07-05T09:37:14.543988+00:00"},{"alias_kind":"pith_short_16","alias_value":"JQ7RXZKUBI3W22X6","created_at":"2026-07-05T09:37:14.543988+00:00"},{"alias_kind":"pith_short_8","alias_value":"JQ7RXZKU","created_at":"2026-07-05T09:37:14.543988+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.21980","citing_title":"D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21980","citing_title":"D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch","ref_index":21,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6","json":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6.json","graph_json":"https://pith.science/api/pith-number/JQ7RXZKUBI3W22X6D3ZJF444E6/graph.json","events_json":"https://pith.science/api/pith-number/JQ7RXZKUBI3W22X6D3ZJF444E6/events.json","paper":"https://pith.science/paper/JQ7RXZKU"},"agent_actions":{"view_html":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6","download_json":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6.json","view_paper":"https://pith.science/paper/JQ7RXZKU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.11962&json=true","fetch_graph":"https://pith.science/api/pith-number/JQ7RXZKUBI3W22X6D3ZJF444E6/graph.json","fetch_events":"https://pith.science/api/pith-number/JQ7RXZKUBI3W22X6D3ZJF444E6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6/action/storage_attestation","attest_author":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6/action/author_attestation","sign_citation":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6/action/citation_signature","submit_replication":"https://pith.science/pith/JQ7RXZKUBI3W22X6D3ZJF444E6/action/replication_record"}},"created_at":"2026-07-05T09:37:14.543988+00:00","updated_at":"2026-07-05T09:37:14.543988+00:00"}