{"paper":{"title":"Husain-Kucha\\v{r} model as the Carrollian limit of the Holst term","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The Husain-Kuchař model arises as the Carrollian limit of the Holst term when gravity is formulated with coframes and spin connections.","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Aitor Vicente-Cano, Eduardo J.S. Villase\\~nor, J. Fernando Barbero G., Juan Margalef-Bentabol","submitted_at":"2025-08-21T09:08:42Z","abstract_excerpt":"We show how the Husain-Kucha\\v{r} model can be understood as a Carrollian limit of the Holst term in the context of background-independent field theories described in terms of coframes and spin connections. We also discuss the footprint of the Carrollian symmetry in the Hamiltonian formulation of the Husain-Kucha\\v{r} action."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show how the Husain-Kuchař model can be understood as a Carrollian limit of the Holst term in the context of background-independent field theories described in terms of coframes and spin connections.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The Carrollian limit is well-defined for the Holst term in the coframe and spin connection formulation such that it exactly reproduces the Husain-Kuchař model without requiring extra field constraints or modifications (abstract statement of the limit procedure).","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Husain-Kuchař model is obtained as the Carrollian limit of the Holst term in coframe-spin connection theories, with Carrollian symmetry analyzed in the Hamiltonian formulation.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The Husain-Kuchař model arises as the Carrollian limit of the Holst term when gravity is formulated with coframes and spin connections.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"0ebcb2f96e354fcf94f04075ecc3d11ff812847a33554b820f9705fd0b0f450c"},"source":{"id":"2508.15373","kind":"arxiv","version":1},"verdict":{"id":"dc5a5f49-d304-4323-8395-7c8bd808ee33","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T22:16:39.979482Z","strongest_claim":"We show how the Husain-Kuchař model can be understood as a Carrollian limit of the Holst term in the context of background-independent field theories described in terms of coframes and spin connections.","one_line_summary":"Husain-Kuchař model is obtained as the Carrollian limit of the Holst term in coframe-spin connection theories, with Carrollian symmetry analyzed in the Hamiltonian formulation.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The Carrollian limit is well-defined for the Holst term in the coframe and spin connection formulation such that it exactly reproduces the Husain-Kuchař model without requiring extra field constraints or modifications (abstract statement of the limit procedure).","pith_extraction_headline":"The Husain-Kuchař model arises as the Carrollian limit of the Holst term when gravity is formulated with coframes and spin connections."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.15373/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":21,"sample":[{"doi":"","year":1968,"title":"H. Bacry and J. Levy-Leblond, Possible kinematics, J. Math. Phys. 9 (1968) 1605","work_id":"194d4d3f-cb61-4d47-93f7-e6b1bab99a67","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1965,"title":"L´ evy-Leblond,Une nouvelle limite non-relativiste du groupe de Poincar´ e, Annales de l’I.H.P","work_id":"ed95fd6e-0768-4b22-bc5d-35356fc9f3d5","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1966,"title":"N. D. Sen Gupta, On an analogue of the Galilei group , Nuovo Cim. A 44 (1966) 512","work_id":"236d4b36-6c73-4b4c-842d-b054eef3c2cd","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2014,"title":"C. Duval, G. W. Gibbons, and P.A. Horvathy, Conformal Carroll groups and BMS symmetry, Class. Quant. Grav. 31 (2014) 092001","work_id":"3cee22bc-04ac-466d-87af-ca2f1c67af48","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2014,"title":"C. Duval, G. W. Gibbons, P. A. Horvathy, and P. M. Zhang, Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time , Class. Quant. Grav. 31 (2014) 085016","work_id":"5ca274ac-c322-47c1-8047-e3d37688a319","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":21,"snapshot_sha256":"d16bf7b41e49aaec0f656ac53b6b8581c395787883329ea44ce4863194d17b6c","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"}