论文标题
Chern-Simons涡流的Gudnason模型的渐近行为
The asymptotic behavior of Chern-Simons Vortices for Gudnason Model
论文作者
论文摘要
我们考虑了由超对称仪表场理论产生的椭圆系统。在本文中，我们完成了所有可能的解决方案，根据它们的渐近行为在弱耦合效果下进行分类。有趣的是，事实证明，一个组件不遵循经典Chern-Simons-Higgs模型的冷凝物解决方案的特征。此外，为了证明爆炸成分的浓度特性，我们需要提高收敛速率和其他组件的梯度估计，从而收敛到常数。我们希望这一结果将为研究一般椭圆系统问题的研究提供见解，这些问题甚至既不合作也不具有竞争力。
We consider an elliptic system arising from a supersymmetric gauge field theory. In this paper, we complete to classify all possible solutions according to their asymptotic behavior under a weak coupling effect. Interestingly, it turns out that one of components does not follow the feature of condensate solutions for the classical Chern-Simons-Higgs model. Moreover, in order to prove the concentration property of blow up component, we need to improve the convergence rate and the gradient estimation for the other component, which converges to a constant. We expect that this result would provide an insight for the study of general elliptic system problems, which are even neither cooperative nor competitive.
