Flag manifold sigma models and nilpotent orbits

DOI10.1134/S0081543820030062zbMath1454.70012arXiv1911.07768OpenAlexW2987645463MaRDI QIDQ2193499

Dmitri V. Bykov

Publication date: 18 August 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07768

zbMATH Keywords

zero-curvature representationnilpotent orbitchiral modelflag manifold sigma model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) More general nonquantum field theories in mechanics of particles and systems (70S20)

Related Items (10)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Four-dimensional Chern–Simons theory and integrable field theories ⋮ Integrable degenerate \(\mathcal{E}\)-models from 4d Chern-Simons theory ⋮ Sigma models as Gross-Neveu models. II ⋮ Quantum flag manifold \(\sigma \)-models \textit{and} Hermitian Ricci flow ⋮ On bosonic Thirring model in Minkowski signature ⋮ Integrable \(\mathcal{E}\)-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects ⋮ On the Zakharov-Mikhailov action: 4d Chern-Simons origin and covariant Poisson algebra of the Lax connection ⋮ Sigma models as Gross-Neveu models ⋮ Deformed \(\sigma\)-models, Ricci flow and Toda field theories

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