Geometry of vortices and domain walls
The author considers relativistic models which contain in their spectra of solutions extended topological defects, such as vortices (typical for low energy systems) and domain walls (usually observed in ferromagnetic and ferro-electric materials). A direct correspondence between vortices and strings can be obtained if one refers only to vortices of constant width. Co-moving coordinates are constructed in the vicinity of the string on the one hand, and in the neighbourhood of the domain wall on the other hand. Then, by using a simple remark on equation transformation, the geometry of constant width vortices and domain walls is characterized.
scientific article; zbMATH DE number 5977199