Existence of the semilocal Chern–Simons vortices

Dongho Chae
2005 Journal of Mathematical Physics  
We consider the Bogomol'nyi equations of the Abelian Chern-Simons-Higgs model with SU (N ) global ⊗ U (1) local symmetry. This is a generalization of the well-known Abelian Chern-Simons-Higgs model with U (1) local symmetry. We prove existence of both topological and nontopological multivortex solutions of the system on the plane.
doi:10.1063/1.1868858 fatcat:otc6njrekvai3ju5im6vf7nsxi