In this paper we study the existence and uniqueness of the topological Chern-Simons vortices in the CP(1) model in R 2 . After reducing the self-dual equations to semilinear elliptic partial differential equations, we show that a topological solution exists, and it is unique up to a real smooth func
Uniqueness of the topological multivortex solution in the self-dual Chern-Simons theory
โ Scribed by Choe K.
- Book ID
- 127403505
- Year
- 2005
- Tongue
- English
- Weight
- 245 KB
- Category
- Library
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โฆ Synopsis
We establish a uniqueness result for the topological multivortex solution to theself-dual equations of the Abelian relativistic self-dual Chern-Simons-Higgsmodel. We prove that the topological multivortex solution is unique if the Chern-Simons coupling parameter k.0 is sufficiently small. We also establish a uniquenessresult for k.0 sufficiently large.
๐ SIMILAR VOLUMES
We study the existence and various behaviors of topological multivortex solutions of the relativistic self-dual Maxwell Chern Simons Higgs system. We first prove the existence of general topological solutions by applying variational methods to the newly discovered minimizing functional. Then, by an