Integrability, duality and sigma models

DOI10.1007/JHEP11(2018)204zbMath1405.81125arXiv1804.03399WikidataQ125913215 ScholiaQ125913215MaRDI QIDQ1710885

Vladimir A. Fateev, Alexey Litvinov

Publication date: 23 January 2019

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

Full work available at URL: https://arxiv.org/abs/1804.03399

zbMATH Keywords

conformal field theoryrenormalization group approachsigma modelsintegrable field theories

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) 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)

Related Items (9)

Integrable deformations of sigma models ⋮ Dual description of \(\eta\)-deformed OSP sigma models ⋮ Integrable 2d sigma models: quantum corrections to geometry from RG flow ⋮ Strong integrability of the bi-YB-WZ model ⋮ On bosonic Thirring model in Minkowski signature ⋮ Integrable sigma models at RG fixed points: quantisation as affine Gaudin models ⋮ The quantum non-linear \(\sigma\)-model RG flow and integrability in wormhole geometries ⋮ Integrable sigma models and 2-loop RG flow ⋮ Dressing cosets and multi-parametric integrable deformations

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Multipoint correlation functions in Liouville field theory and minimal Liouville gravity
• Nonlinear models in \(2+\epsilon\) dimensions
• Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories.
• Integrable deformations of sine-Liouville conformal field theory and duality
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• Integrable deformations of the \(\text{O}(3)\) sigma model. The sausage model
• On integrability of the Yang–Baxter σ-model
• Integrable circular brane model and Coulomb charging at large conduction
• Sigma Models as Perturbed Conformal Field Theories
• Reflection amplitudes in non-simply laced Toda theories and thermodynamic Bethe ansatz

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