A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model
High Energy Physics - Theory
2010-11-19 v1
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.
Cite
@article{arxiv.hep-th/0211143,
title = {A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model},
author = {Manuel Barros},
journal= {arXiv preprint arXiv:hep-th/0211143},
year = {2010}
}
Comments
10 pages