Solutions of Euclidean σ models on noncompact Grassmann manifolds

DOI10.1063/1.527917zbMath0646.53084OpenAlexW2016658547MaRDI QIDQ3790283

B. M. A. G. Piette, Jean-Pierre Antoine

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527917

zbMATH Keywords

explicit solutionsGrassmann manifolds\(\sigma \) models

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of global differential geometry to the sciences (53C80)

Related Items

Some classes of general solutions of the U(N) chiral σ models in two dimensions, Harmonic tori in de Sitter spaces \(S^{2n}_1\), Explicit solutions of Grassmannian σ models, Superconformal harmonic surfaces in de Sitter space-times, The hyperbolic Heisenberg and sigma models in \(1+1\) dimensions., Harmonic superconformal maps of surfaces in \(\mathbb{H}^n\)

Cites Work

• Some properties of classical solutions in Grassmannian sigma models
• Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces
• Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models
• Classical solutions of two-dimensional Grassmannian models
• Local theory of solutions for the \(0(2k+1)\sigma\)-model
• Pseudo-Hermitian symmetric spaces
• Classical Solutions for the Supersymmetric Grassmannian Sigma Models in Two Dimensions. I
• Classical nonlinear σ models on Grassmann manifolds of compact or noncompact type
• Gauge equivalence of sigma models with non-compact Grassmannian manifolds
• Grassmannian σ models and strings