Cyclic gradings of Lie algebras and Lax pairs for \(\sigma\)-models

DOI10.1134/S0040577916120060zbMath1358.81137OpenAlexW2567873947MaRDI QIDQ518524

Dmitri Bykov

Publication date: 28 March 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916120060

zbMATH Keywords

complex structureintegrable system\(\sigma\)-model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (7)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Integrable deformations of sigma models ⋮ Lax pairs for new \(\mathbb{Z}_N\)-symmetric coset \(\sigma\)-models and their Yang-Baxter deformations ⋮ 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 ⋮ Lie-Poisson structures over differential algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classical solutions of a flag manifold \(\sigma\)-model
• Flat currents, \(\mathbb Z_m\) gradings and coset space actions
• New approach to the quantization of the Yang-Mills field
• Integrable properties of \(\sigma\) -models with non-symmetric target spaces
• Resurgence and trans-series in quantum field theory: the \(\mathbb{C}{{\mathbb{P}}^{N-1}}\) model
• Complex structures and zero-curvature equations for \(\sigma\)-models
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Automorphisms of finite order of semisimple Lie algebras
• A Note on Hyperhermitian Four-Manifolds
• Closed Manifolds with Homogeneous Complex Structure

This page was built for publication: Cyclic gradings of Lie algebras and Lax pairs for \(\sigma\)-models