On analytic descriptions of two-dimensional surfaces associated with the {\bb C} P^{N-1} sigma model

DOI10.1088/1751-8113/42/17/172001zbMath1169.53043arXiv0905.2556OpenAlexW2042953362MaRDI QIDQ3628268

İsmet Yurduşen, A. Michel Grundland

Publication date: 19 May 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2556

zbMATH Keywords

sigma modelthe Sym--Tafel formulathe Weierstrass formula

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (12)

A cohomological approach to immersed submanifolds via integrable systems ⋮ Explicit examples of constant curvature surfaces in the supersymmetric ${C}P^{2}$ sigma model ⋮ Properties of soliton surfaces associated with integrable $\mathbb{C}P^{N-1}$ sigma models ⋮ Minimal surfaces associated with orthogonal polynomials ⋮ On a stack of surfaces obtained from the $\boldsymbol {\mathbb{C}P^{N-1}}$ sigma models ⋮ $\mathbb CP^{N}$ sigma models via the $\mathbf{SU}(2)$ coherent states approach ⋮ Constant curvature surfaces of the supersymmetric ℂP N−1 sigma model ⋮ \(\mathbb{C}P^{2S}\) sigma models described through hypergeometric orthogonal polynomials ⋮ General solutions of the supersymmetric ℂP2 sigma model and its generalisation to ℂP N−1 ⋮ Analysis of ℂ P N − 1 $$\mathbb {C}P^{N-1}$$ Sigma Models via Soliton Surfaces ⋮ Canonical surfaces associated with projectors in Grassmannian sigma models ⋮ The Veronese Sequence of Analytic Solutions of the "Equation missing" Sigma Model Equations Described via Krawtchouk Polynomials

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