A note on the existence of soliton solutions in the Chern-Simons-CP(1) model

Abstract

We study a gauged Chern-Simons-CP(1) system. We show that contrary to previous claims the model in the absences of a potential term cannot support finite size soliton solution in $R^2$.

12 pages, 5 figures

References in corpus (2)

• Vortex Matter in Mesoscopic Superconducting Disks and Rings
• Self-dual Ginzburg-Landau vortices in a disk

Cited by in corpus (4)

• Topological first-order vortices in a gauged CP(2) model
• Self-dual soliton solutions in a Chern-Simons-CP(1) model with a nonstandard kinetic term
• Stability analysis for soliton solutions in a gauged CP(1) theory
• Singular soliton solution in the Chern-Simons-CP(1) model