The Veronese Sequence of Analytic Solutions of the "Equation missing" Sigma Model Equations Described via Krawtchouk Polynomials

DOI10.1007/978-3-030-55777-5_5zbMath1471.81063arXiv1909.10041OpenAlexW3144326433MaRDI QIDQ5011777

Nicolas Crampé, A. Michel Grundland

Publication date: 27 August 2021

Published in: Quantum Theory and Symmetries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10041

zbMATH Keywords

integrable systemssigma modelsspin matricessoliton surfacesWeierstrass formula for immersionprojector formalism

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Compact Riemann surfaces and uniformization (30F10) Constructive quantum field theory (81T08) Exactly and quasi-solvable systems arising in quantum theory (81U15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Clifford algebras, spinors (15A66) Soliton solutions (35C08)

Cites Work

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• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Soliton surfaces associated with sigma models: differential and algebraic aspects
• Invariant recurrence relations for {{{\mathbb C}}P^{N-1}} models
• On analytic descriptions of two-dimensional surfaces associated with the {\bb C} P^{N-1} sigma model
• Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations
• On a stack of surfaces obtained from the $\boldsymbol {\mathbb{C}P^{N-1}}$ sigma models

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