On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model

Abstract

We study analytic descriptions of conformal immersions of the Riemann sphere S^2 into the CP^(N-1) sigma model. In particular, an explicit expression for two-dimensional (2-D) surfaces, obtained from the generalized Weierstrass formula, is given. It is also demonstrated that these surfaces coincide with the ones obtained from the Sym-Tafel formula. These two approaches correspond to parametrizations of one and the same surface in R^(N^2-1).

6 pages

References in corpus (1)

• Conformally parametrized surfaces associated with CP^(N-1) sigma models

Cited by in corpus (12)

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• Constant curvature surfaces of the supersymmetric $\mathbb{C}{P}^{N-1}$ sigma model
• Soliton surfaces and generalized symmetries of integrable systems
• Soliton surfaces associated with generalize symmetries of integrable equations
• Canonical surfaces associated with projectors in grassmannian sigma models
• General solutions of the supersymmetric $\mathbb{C}{P}^2$ sigma model and its generalisation to $\mathbb{C}{P}^{N-1}$
• Soliton surfaces associated with CP^{N-1} sigma models
• $\mathbb{C}{P}^{2S}$ sigma models described through hypergeometric orthogonal polynomials
• A cohomological approach to immersed submanifolds via integrable systems
• Invariant formulation of surfaces associated with $C{P}^{N-1}$ models
• Analysis of $C{P}^{N-1}$ sigma models via projective structure
• Superforms and the $\mathbb{C}{P}^{N-1}$ supersymmetric sigma model