Integrable \(\mathcal{E}\)-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects
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Publication:2244740
DOI10.3842/SIGMA.2021.058OpenAlexW3107769230MaRDI QIDQ2244740
Sylvain Lacroix, Benoît Vicedo
Publication date: 12 November 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.13809
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Topological field theories in quantum mechanics (81T45) Applications of Lie algebras and superalgebras to integrable systems (17B80) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Related Items (11)
Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine sl2 Gaudin model ⋮ Four-dimensional Chern–Simons theory and integrable field theories ⋮ On strong integrability of the dressing cosets ⋮ 3-dimensional mixed BF theory and Hitchin's integrable system ⋮ Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theory ⋮ Integrable degenerate \(\mathcal{E}\)-models from 4d Chern-Simons theory ⋮ The magic renormalisability of affine Gaudin models ⋮ Generalized dualities and supergroups ⋮ On a class of conformal \(\mathcal{E}\)-models and their chiral Poisson algebras ⋮ Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies ⋮ Non-abelian Toda field theories from a 4D Chern-Simons theory
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