Topological solutions for the self-dual Chern-Simons 𝐶𝑃(1) model with large Chern-Simons coupling constant

Chen, Zhi-You

doi:10.1090/proc/12680

Topological solutions for the self-dual Chern-Simons $CP(1)$ model with large Chern-Simons coupling constant
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Proc. Amer. Math. Soc. 144 (2016), 191-203 Request permission

Abstract:

In this paper, we consider the self-dual Chern-Simons $CP(1)$ model in the whole plane $\mathbf {R}^2$. After reducing to a single equation, we prove the uniqueness of topological multivortex solutions for the model if the Chern-Simons coupling parameter is sufficiently large.

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