{"paper":{"title":"Chern-Simons deformation of vortices on compact domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. M. Speight, S. P. Flood","submitted_at":"2017-08-17T16:13:01Z","abstract_excerpt":"Existence of Maxwell-Chern-Simons-Higgs (MCSH) vortices in a Hermitian line bundle $\\L$ over a general compact Riemann surface $\\Sigma$ is proved by a continuation method. The solutions are proved to be smooth both spatially and as functions of the Chern-Simons deformation parameter $\\kappa$, and exist for all $|\\kappa|<\\kappa_*$, where $\\kappa_*$ depends, in principle, on the geometry of $\\Sigma$, the degree $n$ of $\\L$, which may be interpreted as the vortex number, and the vortex positions. A simple upper bound on $\\kappa_*$, depending only on $n$ and the volume of $\\Sigma$, is found. Furth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05348","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"}