{"paper":{"title":"Chiral interactions of fermions and massive gauge fields in Kaluza-Klein models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Non-Killing vector fields on the internal space generate massive yet light gauge bosons with chiral couplings to fermions in Kaluza-Klein reductions.","cross_cats":["hep-ph","math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"Joao Baptista","submitted_at":"2025-06-10T18:00:03Z","abstract_excerpt":"In Kaluza-Klein theory, gauge fields on $M_4$ arise as components of a higher-dimensional metric defined on $M_4 \\times K$. The traditional expectation is that all the gauge fields of the Standard Model are linked to exact Killing vector fields on the internal space. This paper questions that assumption and investigates the properties of 4D gauge fields linked to non-Killing fields on $K$. It is shown that they have massive yet arbitrarily light bosons; they can mix fermions with different masses; and they can have asymmetric couplings to left- and right-handed fermions. None of these properti"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Gauge fields linked to non-Killing vector fields on the internal space K produce massive yet arbitrarily light bosons that mix fermions of different masses and exhibit asymmetric couplings to left- and right-handed fermions, circumventing traditional no-go arguments and supplying a geometric source of chiral interactions.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The higher-dimensional Dirac operator on M4 × K with a non-trivial background metric induced by non-Killing vector fields yields an effective 4D theory whose gauge bosons and fermion couplings match the claimed properties without additional fine-tuning or external fields.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Non-Killing vector fields on the internal manifold in Kaluza-Klein compactifications generate massive light gauge bosons with chiral fermion couplings that bypass traditional no-go theorems.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Non-Killing vector fields on the internal space generate massive yet light gauge bosons with chiral couplings to fermions in Kaluza-Klein reductions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"76a3967e69afeb4aacb2678d3a4121e14ba005c54b63bbcf42e3499661add2a4"},"source":{"id":"2506.09126","kind":"arxiv","version":2},"verdict":{"id":"64ad4aa5-8da7-4e49-8cdc-92bd5f5db0b6","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T09:59:36.605535Z","strongest_claim":"Gauge fields linked to non-Killing vector fields on the internal space K produce massive yet arbitrarily light bosons that mix fermions of different masses and exhibit asymmetric couplings to left- and right-handed fermions, circumventing traditional no-go arguments and supplying a geometric source of chiral interactions.","one_line_summary":"Non-Killing vector fields on the internal manifold in Kaluza-Klein compactifications generate massive light gauge bosons with chiral fermion couplings that bypass traditional no-go theorems.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The higher-dimensional Dirac operator on M4 × K with a non-trivial background metric induced by non-Killing vector fields yields an effective 4D theory whose gauge bosons and fermion couplings match the claimed properties without additional fine-tuning or external fields.","pith_extraction_headline":"Non-Killing vector fields on the internal space generate massive yet light gauge bosons with chiral couplings to fermions in Kaluza-Klein reductions."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.09126/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"}