A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model
arXiv:hep-th/0211143 · doi:10.1016/S0370-2693(02)03266-5
Abstract
The O(3) nonlinear sigma model with boundary, in dimension two, is considered. An algorithm to determine all its soliton solutions that preserve a rotational symmetry in the boundary is exhibited. This nonlinear problem is reduced to that of clamped elastica in a hyperbolic plane. These solutions carry topological charges that can be holographically determined from the boundary conditions. As a limiting case, we give a wide family of new soliton solutions in the free O(3) nonlinear sigma model.
10 pages