Affine \(q\)-deformed symmetry and the classical Yang-Baxter \(\sigma\)-model

DOI10.1007/JHEP03(2017)126zbMath1377.81094arXiv1701.03691OpenAlexW2572844078MaRDI QIDQ1692998

Marc Magro, Francois Delduc, Benoît Vicedo, Takashi Kameyama

Publication date: 10 January 2018

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

Full work available at URL: https://arxiv.org/abs/1701.03691

zbMATH Keywords

sigma modelsintegrable field theories

Mathematics Subject Classification ID

Model quantum field theories (81T10) General properties and structure of complex Lie groups (22E10) Yang-Baxter equations (16T25)

Related Items

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), Gauge theory on twist-noncommutative spaces, Deformations of the Almheiri-Polchinski model, Integrable sigma models at RG fixed points: quantisation as affine Gaudin models, Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices, Local charges in involution and hierarchies in integrable sigma-models, Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable \(\sigma\)-model, Integrable lambda models and Chern-Simons theories, Classical and quantum aspects of Yang-Baxter Wess-Zumino models, Poisson-Lie duals of the \(\eta\)-deformed \(\mathrm{AdS}_{2} \times S^2 \times T^6\) superstring, On Yang–Baxter models, twist operators, and boundary conditions, Integrable deformations of coupled \(\sigma\)-models

Cites Work

• Unnamed Item
• Derivation of the action and symmetries of the \(q\)-deformed \({\mathrm{AdS}}_5\times S^5\) superstring
• Integrable deformations of strings on symmetric spaces
• The classical origin of quantum affine algebra in squashed sigma models
• Hidden Yangian symmetry in sigma model on squashed sphere
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
• Towards a two-parameter \(q\)-deformation of \(\mathrm{AdS}_3 \times S^3 \times M^4\) superstrings
• Integrable double deformation of the principal chiral model
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The universal \(R\)-matrix for quantum untwisted affine Lie algebras
• On the classical equivalence of monodromy matrices in squashed sigma model
• Integrable superstrings on the squashed three-sphere
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• Onq-deformed symmetries as Poisson–Lie symmetries and application to Yang–Baxter type models
• An integrable deformation of the AdS₅×S⁵superstring
• On integrability of the Yang–Baxter σ-model
• Classical integrability of the squashed three-sphere, warped AdS₃and Schrödinger spacetime via T-duality
• AN INTRODUCTION TO YANGIAN SYMMETRIES
• A deformation of quantum affine algebra in squashed Wess-Zumino-Novikov-Witten models
• Poisson–Hopf limit of quantum algebras
• INTRODUCTION TO YANGIAN SYMMETRY IN INTEGRABLE FIELD THEORY
• Quantum groups
• Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation