{"paper":{"title":"Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C.P. Martin, C. Tamarit (Universidad Complutense de Madrid)","submitted_at":"2006-10-10T15:19:58Z","abstract_excerpt":"For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix h\\theta^{\\mu\\nu}, we construct smooth monopole --and, some two-monopole-- fields that solve the noncommutative Yang-Mills-Higgs equations in the BPS limit and that are formal power series in h\\theta^{\\mu\\nu}. We show that there exist noncommutative BPS (multi-)monopole field configurations that are formal power series in h\\theta^{\\mu\\nu} if, and only if, two a priori free parameters of the Seiberg-Witten map take very specific values. These parameters, that are not asso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0610115","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"}