Integrable theories in any dimension and homogeneous spaces

DOI10.1016/S0550-3213(99)00090-5zbMath0944.37043arXivhep-th/9810067OpenAlexW3100754559MaRDI QIDQ1572084

Erica E. Leite, Luiz Agostinho Ferreira

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9810067

zbMATH Keywords

homogeneous spacesnonlinear sigma modelslocal conservation lawsintegrable submodelslocal zero curvature representations

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (6)

Exact vortex solutions in a \(\mathbb{CP}^{N}\) Skyrme-Faddeev type model ⋮ Toroidal solitons in \(3+1\)-dimensional integrable theories ⋮ A generalization of the submodel of nonlinear \(\mathbb{C} \mathbb{P}^1\) models ⋮ Nonlinear dynamics of networks: the groupoid formalism ⋮ INTEGRABLE THEORIES AND LOOP SPACES: FUNDAMENTALS, APPLICATIONS AND NEW DEVELOPMENTS ⋮ Pullback of the volume form, integrable models in higher dimensions and exotic textures

Cites Work

• Nonlinear sigma models in \((1+2)\) dimensions and an infinite number of conserved currents
• A new approach to integrable theories in any dimension
• Euclidean-signature supergravities, dualities and instantons.
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