Integrable properties of \(\sigma\) -models with non-symmetric target spaces

DOI10.1016/j.nuclphysb.2015.03.005zbMath1328.81150arXiv1412.3746OpenAlexW2089359731MaRDI QIDQ902015

Dmitri Bykov

Publication date: 6 January 2016

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

Full work available at URL: https://arxiv.org/abs/1412.3746

Mathematics Subject Classification ID

Model quantum field theories (81T10) Grassmannians, Schubert varieties, flag manifolds (14M15) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (16)

Flag manifold sigma models. Spin chains and integrable theories ⋮ The anisotropic \(\lambda\)-deformed \(\mathrm{SU}(2)\) model is integrable ⋮ Lax pairs for new \(\mathbb{Z}_N\)-symmetric coset \(\sigma\)-models and their Yang-Baxter deformations ⋮ Integrable deformation of \(\mathbb{CP}^n\) and generalised Kähler geometry ⋮ Ultralocal Lax connection for para-complex \(\mathbb{Z}_T\)-cosets ⋮ Notes on index of quantum integrability ⋮ Flag manifold $\sigma$-models: the $\frac{1}{N}$-expansion and the anomaly two-form ⋮ Complex structure-induced deformations of \(\sigma\)-models ⋮ Quantum flag manifold \(\sigma \)-models \textit{and} Hermitian Ricci flow ⋮ A gauged linear formulation for flag-manifold \(\sigma\)-models ⋮ \(\mathrm{SU}(3)\) knot solitons: Hopfions in the \(F_{2}\) Skyrme-Faddeev-Niemi model ⋮ Cyclic gradings of Lie algebras and Lax pairs for \(\sigma\)-models ⋮ The \(1/N\)-expansion for flag-manifold \(\sigma \)-models ⋮ Complex structures and zero-curvature equations for \(\sigma\)-models ⋮ Deformed \(\sigma\)-models, Ricci flow and Toda field theories ⋮ Classical solutions of a flag manifold \(\sigma\)-model

Cites Work

• Unnamed Item
• Superisometries and integrability of superstrings
• Haldane limits via Lagrangian embeddings
• Topological sigma models
• Strings on semisymmetric superspaces
• Classification des variété Classification of homogeneous nearly Kähler manifolds approximativement Kähleriennes homogénes
• Nearly Kähler manifolds
• Self-duality in four-dimensional Riemannian geometry
• New Invariant Einstein Metrics on Generalized Flag Manifolds
• Heterotic strings on homogeneous spaces

This page was built for publication: Integrable properties of \(\sigma\) -models with non-symmetric target spaces