model in a gauge field theory; Cosmic Strings in a Product Abelian Gauge Field Theory 在此三年的研究計晝中,我門將規劃地深入探討下列具挑戰的研究主題: 第一年: 一、物理學規範場理論模型的研究依循由簡而繁的演進過程。從早期古典只包 含 Maxwell term 的 Abelian Higgs (AH) Model,至後來單純考慮 Chern-Simons term的Chern-Simons-Higgs (CS);First Year: (I) Maxwell-Chern-Simons-Higgs Model A system of semilinear elliptic equations arising from a non-relativistic self-dual Maxwell-Chern-Simons $O(3)$ sigma model is considered. We plan to reveal the uniqueness aspect of the topological solu;研究期間:10608 ~ 10707