Classical solutions of a flag manifold \(\sigma\)-model

DOI10.1016/j.nuclphysb.2015.11.015zbMath1332.81115arXiv1506.08156OpenAlexW1648075418MaRDI QIDQ253052

Dmitri Bykov

Publication date: 7 March 2016

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

Full work available at URL: https://arxiv.org/abs/1506.08156

Mathematics Subject Classification ID

Model quantum field theories (81T10) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (13)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Integrable deformation of \(\mathbb{CP}^n\) and generalised Kähler geometry ⋮ Ultralocal Lax connection for para-complex \(\mathbb{Z}_T\)-cosets ⋮ 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 ⋮ Multiparticle \(\mathcal{N} = 8\) mechanics with \(F(4)\) superconformal symmetry ⋮ \(\mathrm{SU}(3)\) 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

Cites Work

• Integrable properties of \(\sigma\) -models with non-symmetric target spaces
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Minimal immersions of surfaces in Euclidean spheres
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