کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6415169 | 1334959 | 2014 | 49 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Chern-Simons vortices in the Gudnason model Chern-Simons vortices in the Gudnason model](/preview/png/6415169.png)
We present a series of existence theorems for multiple vortex solutions in the Gudnason model of the N=2 supersymmetric field theory where non-Abelian gauge fields are governed by the pure Chern-Simons dynamics at dual levels and realized as the solutions of a system of elliptic equations with exponential nonlinearity over two-dimensional domains. In the full plane situation, our method utilizes a minimization approach, and in the doubly periodic situation, we employ an inequality-constrained minimization approach. In the latter case, we also obtain sufficient conditions under which we show that there exist at least two gauge-distinct solutions for any prescribed distribution of vortices. In other words, there are distinct solutions with identical vortex distribution, energy, and electric and magnetic charges.
Journal: Journal of Functional Analysis - Volume 267, Issue 3, 1 August 2014, Pages 678-726