The anisotropic \(\lambda\)-deformed \(\mathrm{SU}(2)\) model is integrable

DOI10.1016/j.physletb.2015.02.040zbMath1343.81131arXiv1412.5181OpenAlexW1510873108MaRDI QIDQ304307

Konstantinos Sfetsos, Konstantinos Siampos

Publication date: 25 August 2016

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

Full work available at URL: https://arxiv.org/abs/1412.5181

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Yang-Baxter equations (16T25)

Related Items

Novel all loop actions of interacting CFTs: construction, integrability and RG flows ⋮ Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles ⋮ All-loop correlators of integrable \(\lambda\)-deformed \(\sigma\)-models ⋮ On the Hamiltonian integrability of the bi-Yang-Baxter \(\sigma\)-model ⋮ Double and cyclic \(\lambda\)-deformations and their canonical equivalents ⋮ An exact symmetry in \(\lambda\)-deformed CFTs ⋮ Exact results from the geometry of couplings and the effective action ⋮ Spinning strings: \(\lambda\)-deformation and non-abelian T-dual limit ⋮ The most general ${\lambda}$-deformation of CFTs and integrability ⋮ Integrable models based on non-semi-simple groups and plane wave target spacetimes ⋮ A new class of integrable deformations of CFTs ⋮ Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices ⋮ Integrable flows between exact CFTs ⋮ Field theory and \(\lambda\)-deformations: expanding around the identity ⋮ Strong integrability of \(\lambda\)-deformed models ⋮ \(AdS\) solutions and \(\lambda\)-deformations ⋮ Integrable \(\lambda\)-deformations of the Euclidean black string ⋮ \(\lambda\)-deformed \(AdS_5 \times S^5\) superstring from 4D Chern-Simons theory ⋮ Classical and quantum aspects of Yang-Baxter Wess-Zumino models ⋮ Quantum aspects of doubly deformed CFTs ⋮ Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation ⋮ Quantum inverse scattering and the lambda deformed principal chiral model ⋮ Dressing cosets and multi-parametric integrable deformations ⋮ Quantum anisotropic sigma and lambda models as spin chains

Cites Work

• Integrable deformations of strings on symmetric spaces
• On the geometry of classically integrable two-dimensional non-linear sigma models
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
• Non-Abelian bosonization in two dimensions
• The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
• Integrable double deformation of the principal chiral model
• Integrable properties of \(\sigma\) -models with non-symmetric target spaces
• The all-loop non-abelian Thirring model and its RG flow
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• Yang-Baxter \(\sigma\) model: quantum aspects
• An integrable deformation of the AdS₅×S⁵superstring
• On integrability of the Yang–Baxter σ-model
• Unnamed Item