Sharp Range of Flux and the Structure of Solutions for Self-Dual Chern-Simons CP(1) Model
Abstract: We consider the Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge field in a CP(1) invariant fashion. We classify the radially symmetric soliton solutions of the equation and find the
sharp range of values of magnetic flux for non-topological solutions with this model. We also prove the uniqueness of the topological solution under some specific conditions.
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