{"paper":{"title":"Circular symmetry in the Hitchin system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Masaru Kamata","submitted_at":"2013-07-15T07:48:32Z","abstract_excerpt":"To study circularly symmetric field configurations in the SU(2) Hitchin system an SO(2) symmetry, [J_3, \\phi]=0 and [J_3, A_{\\pm}]=\\pm A_{\\pm}, is imposed on the Higgs scalar \\phi and the gauge fields A_{\\pm} of the system, respectively, where J_3 is a sum of the third components of the orbital angular momenta and the generators of the SU(2). The circular symmetry and the equation \\bar{D}\\phi=0 yield onstant, generally nonzero, vacuum expectation values for {\\rm Tr}(\\phi^{2}). The equation 4F_{z\\bar{z}}=[\\phi, \\phi^{*}] yields a system of differential equations which govern the circularly symm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3840","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"}