Bogomol'nyi vortices on a disk with Dirichlet boundary conditions are investigated and solutions are shown to exist. The dimension of the moduli space of solutions is twice the vortex number. For one vortex near the boundary of the disk, the moduli space looks like a hyperbolic plane. To check these findings various numerical tests are made on square domains with/without holes.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics