Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices

DOI10.1007/JHEP09(2017)035zbMath1382.16032arXiv1706.05322WikidataQ57593377 ScholiaQ57593377MaRDI QIDQ1705927

Timothy J. Hollowood, Dafydd Price, Daniel C. Thompson, Calan Appadu

Publication date: 19 March 2018

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

Full work available at URL: https://arxiv.org/abs/1706.05322

zbMATH Keywords

quantum groupssigma modelsintegrable field theories

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Renormalization group methods applied to problems in quantum field theory (81T17) Groups and algebras in quantum theory and relations with integrable systems (81R12) (S)-matrix theory, etc. in quantum theory (81U20) Yang-Baxter equations (16T25)

Related Items (11)

Integrable deformations of sigma models ⋮ Probing analytical and numerical integrability: the curious case of \(\left(\mathrm{AdS}_5 \times S^5 \right)_{\eta}\) ⋮ Yang-Baxter deformations beyond coset spaces (a slick way to do TsT) ⋮ Ultralocal Lax connection for para-complex \(\mathbb{Z}_T\)-cosets ⋮ Scattering in integrable pp-wave backgrounds: \(S\)-matrix and absence of particle production ⋮ The O(N) monolith reloaded: sum rules and form factor bootstrap ⋮ Integrable flows between exact CFTs ⋮ Weyl anomaly and the \(C\)-function in \(\lambda\)-deformed CFTs ⋮ Integrable \(\lambda\)-deformations of the Euclidean black string ⋮ Classical and quantum aspects of Yang-Baxter Wess-Zumino models ⋮ Quantum anisotropic sigma and lambda models as spin chains

Cites Work

• Unnamed Item
• BPS states in the \(\Omega\)-background and torus knots
• Derivation of the action and symmetries of the \(q\)-deformed \({\mathrm{AdS}}_5\times S^5\) superstring
• The anisotropic \(\lambda\)-deformed \(\mathrm{SU}(2)\) model is integrable
• The classical origin of quantum affine algebra in squashed sigma models
• Integrability of the bi-Yang-Baxter \(\sigma\)-model
• 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
• Log-periodic behavior of finite size effects in field theories with RG limit cycles
• Restricted sine-Gordon theory and the minimal conformal series
• Integrable double deformation of the principal chiral model
• Solvable lattice models related to the vector representation of classical simple Lie algebras
• String models with \(c<1\) components
• Hidden Yangians in 2D massive current algebras
• Quantum group symmetries and non-local currents in 2D QFT
• Russian doll renormalization group and Kosterlitz-Thouless flows
• Integrable theories that are asymptotically CFT.
• A quantum field theory with infinite resonance states
• Affine \(q\)-deformed symmetry and the classical Yang-Baxter \(\sigma\)-model
• On the classical equivalence of monodromy matrices in squashed sigma model
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• Principal chiral field at large \(N\)
• On a universal class of WZW-type conformal models
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• On integrability of the Yang–Baxter σ-model
• Renormalization group limit cycles and field theories for ellipticS-matrices
• Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles
• QUANTIZING SL(N) SOLITONS AND THE HECKE ALGEBRA
• Introduction to Classical Integrable Systems
• Quantum inverse scattering and the lambda deformed principal chiral model
• INTRODUCTION TO YANGIAN SYMMETRY IN INTEGRABLE FIELD THEORY
• Strong-weak coupling duality in anisotropic current interactions
• Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation

This page was built for publication: Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices