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

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.

14 pages

References in corpus (6)

• Surfaces immersed in su(N+1) Lie algebras obtained from the CP^N sigma models
• Invariant recurrence relations for CP^(N-1) models
• On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model
• CP_N Solitons in Quantum Hall Systems
• Classification of integrable Weingarten surfaces possessing an sl(2)-valued zero curvature representation
• Soliton surfaces associated with generalize symmetries of integrable equations

Cited by in corpus (1)

• Superforms and the $\mathbb{C}{P}^{N-1}$ supersymmetric sigma model