{"paper":{"title":"Kaluza-Klein Reduction of the 6 Dimensional \\\\ Dirac Equation on $\\mathbb{S}^3 \\cong SU(2)$ and \\\\ Non-abelian Topological Insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Cem Yeti\\c{s}mi\\c{s}o\\u{g}lu, Keremcan Do\\u{g}an, Tekin Dereli","submitted_at":"2019-04-17T09:11:47Z","abstract_excerpt":"In this work, the Kaluza-Klein reduction of the Dirac equation on a 6 dimensional spacetime $\\mathbb{M}^{1+5} := \\mathbb{M}^{1+2} \\times \\mathbb{S}^3$ is studied. Because of the group structure on $\\mathbb{S}^3$, $\\mathbb{M}^{1+5}$ can be seen as a principal $SU(2)$ bundle over the model Lorentzian spacetime $\\mathbb{M}^{1+2}$. The dimensional reduction induces non-minimal $SU(2)$ couplings to the theory on $\\mathbb{M}^{1+2}$. These interaction terms will be investigated by comparing with a minimally $SU(2)$ coupled Dirac equation on $\\mathbb{M}^{1+2}$. We hope that these results may help us t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.08146","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"}