We establish the existence and uniqueness of radially symmetric self-dual topological vortices in the p = 2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.
- Abelian higgs models
- Chern-simons vortices
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics