Uniqueness of the topological multivortex solution in the self-dual Chern-Simons theory

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Choe K.

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.

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