{"paper":{"title":"Gravity as an SU(1,1) gauge theory in four dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Hongguang Liu, Karim Noui","submitted_at":"2017-02-22T13:35:19Z","abstract_excerpt":"We start with the Hamiltonian formulation of the first order action of pure gravity with a full $\\mathfrak{sl}(2,\\mathbb C)$ internal gauge symmetry. We make a partial gauge-fixing which reduces $\\mathfrak{sl}(2,\\mathbb C)$ to its sub-algebra $\\mathfrak{su}(1,1)$. This case corresponds to a splitting of the space-time ${\\cal M}=\\Sigma \\times \\mathbb R$ where $\\Sigma$ inherits an arbitrary Lorentzian metric of signature $(-,+,+)$. Then, we find a parametrization of the phase space in terms of an $\\mathfrak{su}(1,1)$ commutative connection and its associated conjugate electric field. Following t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06793","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}