Comments on \(\eta\)-deformed principal chiral model from 4D Chern-Simons theory

DOI10.1016/j.nuclphysb.2020.115080zbMath1479.58021arXiv2003.07309OpenAlexW3011070061MaRDI QIDQ821347

Osamu Fukushima, Kentaroh Yoshida, Jun-ichi Sakamoto

Publication date: 20 September 2021

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

Full work available at URL: https://arxiv.org/abs/2003.07309

Mathematics Subject Classification ID

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) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Formal methods and deformations in algebraic geometry (14D15) Yang-Baxter equations (16T25)

Related Items

Four-dimensional Chern–Simons theory and integrable field theories, Integrable deformations of sigma models, 3-dimensional mixed BF theory and Hitchin's integrable system, Integrable degenerate \(\mathcal{E}\)-models from 4d Chern-Simons theory, Boost generator in \(\mathrm{AdS}_3\) integrable superstrings for general braiding, Integrable deformed \(T^{1,1}\) sigma models from 4D Chern-Simons theory, \(\lambda\)-deformed \(AdS_5 \times S^5\) superstring from 4D Chern-Simons theory, Integrable \(\mathcal{E}\)-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects, Yang-Baxter deformations of the \(\mathrm{AdS}_5 \times S^5\) supercoset sigma model from 4D Chern-Simons theory, Non-abelian Toda field theories from a 4D Chern-Simons theory, Yang–Baxter deformations of the principal chiral model plus Wess–Zumino term

Cites Work

• Integrable deformations of strings on symmetric spaces
• Exotic symmetry and monodromy equivalence in Schrödinger sigma models
• Yang-Baxter sigma models based on the CYBE
• The classical origin of quantum affine algebra in squashed sigma models
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• Integrable deformations of coupled \(\sigma\)-models
• Holomorphic Chern-Simons theory and lambda models: PCM case
• On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Generalised fluxes, Yang-Baxter deformations and the O\((d,d)\) structure of non-abelian \(T\)-duality
• Local \(\beta\)-deformations and Yang-Baxter sigma model
• Affine Poisson and affine quasi-Poisson T-duality
• On the classical equivalence of monodromy matrices in squashed sigma model
• Gauge theory and integrability. I
• Gauge theory and integrability. II
• A unifying 2D action for integrable \(\sigma \)-models from 4D Chern-Simons theory
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• Construction of Lax connections by exponentiation
• On integrability of the Yang–Baxter σ-model
• Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles
• Homogeneous Yang–Baxter deformations as generalized diffeomorphisms
• Electric/magnetic deformations of S³ and AdS₃, and geometric cosets
• CLASSIFICATION OF SIX-DIMENSIONAL REAL DRINFELD DOUBLES