{"paper":{"title":"A Clifford Bundle Approach to the Wave Equation of a Spin 1/2 Fermion in the de Sitter Manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"E. A. Notte-Cuello, I. Kondrashuk, M. Rivera-Tapia, S. A. Wainer, W. A. Rodrigues Jr.","submitted_at":"2015-02-19T20:02:12Z","abstract_excerpt":"In this paper we give a Clifford bundle motivated approach to the wave equation of a free spin $1/2$ fermion in the de Sitter manifold, a brane with topology $M=\\mathrm{S0}(4,1)/\\mathrm{S0}(3,1)$ living in the bulk spacetime $\\mathbb{R}^{4,1}=(\\mathring{M}=\\mathbb{R}^{5},\\boldsymbol{\\mathring{g}})$ and equipped with a metric field $\\boldsymbol{g:=-i}^{\\ast}\\boldsymbol{\\mathring{g}%}$ with $\\boldsymbol{i}:M\\rightarrow\\mathring{M}$ being the inclusion map. To obtain the analog of Dirac equation in Minkowski spacetime in the structure $\\mathring{M}$ we appropriately factorize the two Casimir inva"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05685","kind":"arxiv","version":6},"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"}