Details

Autor(en) / Beteiligte

• Choi, Nari
• Han, Jongmin

Titel

REMARKS ON NONTOPOLOGICAL SOLUTIONS IN THE SELF-DUAL CHERN-SIMONS GAUGED O(3) SIGMA MODELS

Ist Teil von

• 대한수학회보, 2016, 53(3), , pp.765-777

Ort / Verlag

대한수학회

Erscheinungsjahr

2016

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• In this paper, we prove the existence of nontopological solutions to the self-dual equations arising from the Chern-Simons gauged $O(3)$ sigma models. The property of solutions depends on a parameter $\tau \in [-1,1]$ appearing in the nonlinear term. The case $\tau=1$ lies on the borderline for the existence of solutions in the previous results \cite{CH13R2, CH11, CHLLi}. We prove the existence of solutions in this case when there are only vortex points. Moreover, if $-1\le \tau<1$, we establish solutions which are perturbed from the solutions of singular Liouville equations. KCI Citation Count: 1