Yang-Baxter deformations of the \(\mathrm{AdS}_5 \times S^5\) supercoset sigma model from 4D Chern-Simons theory

DOI10.1007/JHEP09(2020)100zbMath1454.81105arXiv2005.04950OpenAlexW3105176327MaRDI QIDQ1995121

Jun-ichi Sakamoto, Osamu Fukushima, Kentaroh Yoshida

Publication date: 18 February 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04950

zbMATH Keywords

AdS-CFT correspondenceintegrable field theories

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Eta-invariants, Chern-Simons invariants (58J28) Yang-Baxter equations (16T25) Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) (81T35)

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Four-dimensional Chern–Simons theory and integrable field theories ⋮ Minuscule ABCDE Lax operators from 4D Chern-Simons theory ⋮ 3-dimensional mixed BF theory and Hitchin's integrable system ⋮ Integrable degenerate \(\mathcal{E}\)-models from 4d Chern-Simons theory ⋮ Integrable deformed \(T^{1,1}\) sigma models from 4D Chern-Simons theory ⋮ Integrable \(\mathcal{E}\)-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects ⋮ Non-abelian Toda field theories from a 4D Chern-Simons theory

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