{"paper":{"title":"A Unique Bosonic Symmetry in a 4D Field-Theoretic System","license":"http://creativecommons.org/licenses/by/4.0/","headline":"In 4D Abelian gauge theories a unique bosonic symmetry is built from four off-shell nilpotent BRST transformations when all four Curci-Ferrari restrictions hold.","cross_cats":[],"primary_cat":"hep-th","authors_text":"R. P. Malik","submitted_at":"2025-12-17T15:48:05Z","abstract_excerpt":"For the combined field-theoretic system of the four (3 + 1)-dimensional (4D) Abelian 3-form and 1-form gauge theories, we show the existence of a unique bosonic symmetry transformation that is constructed from the four infinitesimal, continuous and off-shell nilpotent symmetry transformations which exist for the Becchi-Rouet-Stora-Tyutin (BRST) quantized versions of the coupled (but equivalent) Lagrangian densities that describe our present 4D field-theoretic system. The above off-shell nilpotent symmetry transformations are nothing but the BRST, co-BRST, anti-BRST and anti-co-BRST, under whic"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show the existence of a unique bosonic symmetry transformation that is constructed from the four infinitesimal, continuous and off-shell nilpotent symmetry transformations which exist for the BRST quantized versions of the coupled Lagrangian densities.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The proof of the uniqueness of the above bosonic symmetry transformation operator crucially depends on the validity of all the four Curci-Ferrari type restrictions that exist on our theory.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A unique bosonic symmetry transformation exists in the 4D Abelian 3-form plus 1-form gauge theory system, built from BRST, co-BRST, anti-BRST and anti-co-BRST operators when all four Curci-Ferrari restrictions hold.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"In 4D Abelian gauge theories a unique bosonic symmetry is built from four off-shell nilpotent BRST transformations when all four Curci-Ferrari restrictions hold.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f9217e6fd68c3bfd8b33772b50655433ab9e6a8c9ba4624d2ef0464f3de65f13"},"source":{"id":"2512.15540","kind":"arxiv","version":4},"verdict":{"id":"ba9ee245-eb3f-4940-948d-18287eb79459","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T21:52:37.355556Z","strongest_claim":"We show the existence of a unique bosonic symmetry transformation that is constructed from the four infinitesimal, continuous and off-shell nilpotent symmetry transformations which exist for the BRST quantized versions of the coupled Lagrangian densities.","one_line_summary":"A unique bosonic symmetry transformation exists in the 4D Abelian 3-form plus 1-form gauge theory system, built from BRST, co-BRST, anti-BRST and anti-co-BRST operators when all four Curci-Ferrari restrictions hold.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The proof of the uniqueness of the above bosonic symmetry transformation operator crucially depends on the validity of all the four Curci-Ferrari type restrictions that exist on our theory.","pith_extraction_headline":"In 4D Abelian gauge theories a unique bosonic symmetry is built from four off-shell nilpotent BRST transformations when all four Curci-Ferrari restrictions hold."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.15540/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"}