A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model

Details A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model

2002-11-15

arxiv.org/abs/hep-th/0211143v1

Phys.Lett.B553:325-331,2003

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/S0370-2693(02)03266-5

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.

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