On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems

DOI10.1016/j.nuclphysb.2018.07.016zbMath1395.81273arXiv1805.07417OpenAlexW2803550172WikidataQ129506001 ScholiaQ129506001MaRDI QIDQ1672331

Gleb A. Kotousov, Vladimir V. Bazhanov, Sergei L. Lukyanov

Publication date: 7 September 2018

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

Full work available at URL: https://arxiv.org/abs/1805.07417

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Poisson algebras (17B63) Formal methods and deformations in algebraic geometry (14D15) More general nonquantum field theories in mechanics of particles and systems (70S20)

Related Items (7)

On a class of conformal \(\mathcal{E}\)-models and their chiral Poisson algebras ⋮ Bi-Yang-Baxter models and Sl(2)-orbits ⋮ Strong integrability of the bi-YB-WZ model ⋮ Integrable sigma models at RG fixed points: quantisation as affine Gaudin models ⋮ Affine Poisson and affine quasi-Poisson T-duality ⋮ Scaling limit of the \(\mathcal{Z}_2\) invariant inhomogeneous six-vertex model ⋮ Dressing cosets and multi-parametric integrable deformations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrable structure of quantum field theory: classical flat connections versus quantum stationary states
• Derivation of the action and symmetries of the \(q\)-deformed \({\mathrm{AdS}}_5\times S^5\) superstring
• Integrability of the bi-Yang-Baxter \(\sigma\)-model
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets
• Nonlinear models in \(2+\epsilon\) dimensions
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Integrable structure of conformal field theory. III: The Yang-Baxter relation
• On the Hamiltonian integrability of the bi-Yang-Baxter \(\sigma\)-model
• Quantum transfer-matrices for the sausage model
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• The integrable harmonic map problem versus Ricci flow
• GENERALIZED GAUSS DECOMPOSITION OF TRIGONOMETRIC R-MATRICES
• The \(\widehat{s\ell}(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)\) coset theory as a Hamiltonian reduction of \(\widehat{D}(2|1;\alpha)\)
• Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation

This page was built for publication: On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems