{"paper":{"title":"D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Fractional instantons on twisted four-tori have moduli spaces that locally match the Higgs branch of an N=2 supersymmetric theory.","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Erich Poppitz","submitted_at":"2026-04-23T18:00:28Z","abstract_excerpt":"We study self-dual instantons of topological charge $Q=r/N$, for any natural $r$, in $SU(N)$ Yang-Mills theory on a four torus with 't Hooft twists, by embedding them into worldvolume theories of $D$-branes. To study their moduli, we construct the wrapped intersecting brane configurations dual to general constant field strength instanton backgrounds. We show that, locally, the moduli space is identified with the Higgs branch of an $N=2$ supersymmetric theory. This parameterization of the moduli space is equivalent to one recently found in field theory, but is obtained with significantly less e"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"locally, the moduli space is identified with the Higgs branch of an N=2 supersymmetric theory. This parameterization of the moduli space is equivalent to one recently found in field theory, but is obtained with significantly less effort and has manifest hyper-Kähler structure.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the constructed wrapped intersecting brane configurations are dual to general constant field strength instanton backgrounds in the gauge theory on the twisted torus.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The local moduli space of self-dual fractional instantons (Q = r/N) on a twisted four-torus is the Higgs branch of an N=2 supersymmetric theory, obtained via wrapped intersecting D-brane configurations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Fractional instantons on twisted four-tori have moduli spaces that locally match the Higgs branch of an N=2 supersymmetric theory.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a972221dbd5e7878e4b4da4cd546e339c2dff55f4e18a166cbcdf7614873f839"},"source":{"id":"2604.21980","kind":"arxiv","version":2},"verdict":{"id":"12e35cb7-5fab-4e9a-8734-261f50a6a23d","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-09T20:52:23.287057Z","strongest_claim":"locally, the moduli space is identified with the Higgs branch of an N=2 supersymmetric theory. This parameterization of the moduli space is equivalent to one recently found in field theory, but is obtained with significantly less effort and has manifest hyper-Kähler structure.","one_line_summary":"The local moduli space of self-dual fractional instantons (Q = r/N) on a twisted four-torus is the Higgs branch of an N=2 supersymmetric theory, obtained via wrapped intersecting D-brane configurations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the constructed wrapped intersecting brane configurations are dual to general constant field strength instanton backgrounds in the gauge theory on the twisted torus.","pith_extraction_headline":"Fractional instantons on twisted four-tori have moduli spaces that locally match the Higgs branch of an N=2 supersymmetric theory."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.21980/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T11:38:27.158799Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-20T00:27:33.184746Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"6d52ff857edbd4bc2746eaf2992f95115d4d1ab7ea268f63c4db2313bdd7a25f"},"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"}