Soliton surfaces associated with CP^{N-1} sigma models

TL;DR

This paper constructs soliton surfaces linked to CP^{N-1} sigma models using advanced mathematical formulas, providing a detailed theoretical framework and new surface examples based on deformations of the models' zero-curvature representations.

Contribution

It introduces a novel approach to generate and analyze soliton surfaces associated with CP^{N-1} sigma models through generalized immersion formulas and continuous deformations.

Findings

New examples of soliton surfaces are presented.

A detailed theoretical framework is developed.

Connections between zero-curvature representations and surface geometry are established.

Abstract

Soliton surfaces associated with CP^{N-1} sigma models are constructed using the Generalized Weierstrass and the Fokas-Gel'fand formulas for immersion of 2D surfaces in Lie algebras. The considered surfaces are defined using continuous deformations of the zero-curvature representation of the model and its associated linear spectral problem. The theoretical framework is discussed in detail and several new examples of such surfaces are presented.