{"paper":{"title":"Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Deformations of the 2d Breitenlohner-Maison sigma model arise from changes to boundary conditions and the action in a 4d Chern-Simons setup.","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Matthias Blau, Meer Ashwinkumar","submitted_at":"2026-04-29T09:10:34Z","abstract_excerpt":"We derive integrable deformations of the 2d Breitenlohner-Maison (BM) sigma model that describes the stationary, axisymmetric sector of 4d general relativity, as well as higher-rank generalisations thereof, using the framework of 4d Chern-Simons theory. In particular, we consider deformations of the boundary conditions and action of the 4d Cole-Weck model, which lead to deformations of the BM model associated with solutions to the homogeneous and inhomogeneous classical Yang-Baxter equations respectively."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We derive integrable deformations of the 2d Breitenlohner-Maison (BM) sigma model that describes the stationary, axisymmetric sector of 4d general relativity, as well as higher-rank generalisations thereof, using the framework of 4d Chern-Simons theory. In particular, we consider deformations of the boundary conditions and action of the 4d Cole-Weck model, which lead to deformations of the BM model associated with solutions to the homogeneous and inhomogeneous classical Yang-Baxter equations respectively.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That deformations of the boundary conditions and action in the 4d Cole-Weck model within 4d Chern-Simons theory produce integrable deformations of the 2d Breitenlohner-Maison sigma model, relying on the established correspondence between the 4d CS framework and the BM model.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Integrable deformations of the Breitenlohner-Maison sigma model are obtained from 4d Chern-Simons theory, corresponding to solutions of the homogeneous and inhomogeneous classical Yang-Baxter equations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Deformations of the 2d Breitenlohner-Maison sigma model arise from changes to boundary conditions and the action in a 4d Chern-Simons setup.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"606f18bb5958e525b391ceeef3ba25432a6b71c2de49e9b4e9078613f65434bb"},"source":{"id":"2604.26452","kind":"arxiv","version":2},"verdict":{"id":"c03e0646-ffbe-46ea-b5c4-51b33b1c60ed","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T11:39:40.192650Z","strongest_claim":"We derive integrable deformations of the 2d Breitenlohner-Maison (BM) sigma model that describes the stationary, axisymmetric sector of 4d general relativity, as well as higher-rank generalisations thereof, using the framework of 4d Chern-Simons theory. In particular, we consider deformations of the boundary conditions and action of the 4d Cole-Weck model, which lead to deformations of the BM model associated with solutions to the homogeneous and inhomogeneous classical Yang-Baxter equations respectively.","one_line_summary":"Integrable deformations of the Breitenlohner-Maison sigma model are obtained from 4d Chern-Simons theory, corresponding to solutions of the homogeneous and inhomogeneous classical Yang-Baxter equations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That deformations of the boundary conditions and action in the 4d Cole-Weck model within 4d Chern-Simons theory produce integrable deformations of the 2d Breitenlohner-Maison sigma model, relying on the established correspondence between the 4d CS framework and the BM model.","pith_extraction_headline":"Deformations of the 2d Breitenlohner-Maison sigma model arise from changes to boundary conditions and the action in a 4d Chern-Simons setup."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.26452/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T00:36:18.116684Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T20:11:06.026159Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"d2ea07f7b7112cb62de81fb5856b805b989ee6d2122b5ce0b0df014818bbef2c"},"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"}