{"paper":{"title":"(Iso)spin from Isospin in Top-Down Holography","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Hedgehog monopoles in supergravity create a diagonal symmetry that mixes SU(2) and SO(3) angular momenta in dilaton fluctuations.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Marcelo Oyarzo, Ricardo Stuardo","submitted_at":"2025-12-01T19:00:04Z","abstract_excerpt":"Motivated by the spin from isospin mechanism of Jackiw-Rebbi-Hasenfratz-'t Hooft, we study two SU(2) gauged supergravity solutions of the form $M_{d}\\times\\text{S}^{2}$ containing non-Abelian hedgehog monopole on the 2-sphere. Due to the presence of the monopole, the SO(3) isometry group of the 2-sphere is not a symmetry of the configuration. Instead, a diagonal combination of the SU(2) gauge and the SO(3) isometry of the 2-sphere is the true symmetry of the configuration. Uplifting the solutions to Type II, the gauge-isometry diagonal symmetry becomes a diagonal combination between the SO(3) "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Due to the diagonal symmetry, the fluctuations show angular momentum mixing between the SU(2) and SO(3) spins, mimicking the spin from isospin mechanism.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The two supergravity solutions can be consistently uplifted to Type II string theory while preserving the stated diagonal symmetry and without introducing inconsistencies in the higher-dimensional geometry.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Supergravity backgrounds with monopoles on S2 exhibit diagonal symmetry upon uplift, causing SU(2)-SO(3) angular momentum mixing in fluctuations analogous to the Jackiw-Rebbi-Hasenfratz-'t Hooft effect.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Hedgehog monopoles in supergravity create a diagonal symmetry that mixes SU(2) and SO(3) angular momenta in dilaton fluctuations.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"e56d28e82efd92f5e50acc1225c26967fee910455c3b8ac7241a88a26bed2bae"},"source":{"id":"2512.02120","kind":"arxiv","version":3},"verdict":{"id":"629bf6ef-b3c8-44e5-b52e-738e73fbd6cb","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T02:13:43.317470Z","strongest_claim":"Due to the diagonal symmetry, the fluctuations show angular momentum mixing between the SU(2) and SO(3) spins, mimicking the spin from isospin mechanism.","one_line_summary":"Supergravity backgrounds with monopoles on S2 exhibit diagonal symmetry upon uplift, causing SU(2)-SO(3) angular momentum mixing in fluctuations analogous to the Jackiw-Rebbi-Hasenfratz-'t Hooft effect.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The two supergravity solutions can be consistently uplifted to Type II string theory while preserving the stated diagonal symmetry and without introducing inconsistencies in the higher-dimensional geometry.","pith_extraction_headline":"Hedgehog monopoles in supergravity create a diagonal symmetry that mixes SU(2) and SO(3) angular momenta in dilaton fluctuations."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.02120/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":2,"snapshot_sha256":"f2db83d65ae27190d5ee1399b432f092b44356ab52b6dbed63d26623d44df30a"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}