Soliton surfaces associated with sigma models: differential and algebraic aspects

DOI10.1088/1751-8113/45/39/395208zbMath1256.81105arXiv1207.1340OpenAlexW3099217009MaRDI QIDQ3165223

Piotr Goldstein, Sarah Post, A. Michel Grundland

Publication date: 26 October 2012

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

Full work available at URL: https://arxiv.org/abs/1207.1340

Mathematics Subject Classification ID

Soliton equations (35Q51) Topological field theories in quantum mechanics (81T45) Differential geometric aspects of harmonic maps (53C43)

Related Items (8)

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 ⋮ 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 ⋮ \(\mathbb{C}P^{2S}\) sigma models described through hypergeometric orthogonal polynomials ⋮ Structural equations of supermanifolds immersed in the superspace ${\mathcal{M}^{(3\vert2)}(c)}$ with a prescribed curvature ⋮ Analysis of ℂ P N − 1 $$\mathbb {C}P^{N-1}$$ Sigma Models via Soliton Surfaces ⋮ The Veronese Sequence of Analytic Solutions of the "Equation missing" Sigma Model Equations Described via Krawtchouk Polynomials

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