On integrability of 2-dimensional $\sigma$-models of Poisson-Lie type

Abstract

We describe a simple procedure for constructing a Lax pair for suitable 2-dimensional $\sigma$-models appearing in Poisson-Lie T-duality

arXiv comment7 pages

References in corpus (10)

• On integrability of the Yang-Baxter $\si$-model
• Dual Non-Abelian Duality and the Drinfeld Double
• On classical q-deformations of integrable sigma-models
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Poisson-Lie T-duality and Loop Groups of Drinfeld Doubles
• Open Strings and D-branes in WZNW model
• Integrable double deformation of the principal chiral model
• Dressing Cosets
• Non-Abelian Momentum-Winding Exchange
• Yang-Baxter $\sigma$-model with WZNW term as $\mathcal{E}$-model

Cited by in corpus (11)

• 4-dimensional Chern-Simons theory and integrable field theories
• Yang-Baxter deformations of the Principal Chiral Model plus Wess-Zumino term
• Classical and Quantum Aspects of Yang-Baxter Wess-Zumino Models
• Integrable degenerate $\mathcal{E}$-models from 4d Chern-Simons theory
• Brief lectures on duality, integrability and deformations
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• On strong integrability of the dressing cosets
• Hitchhiker's Guide to Courant Algebroid Relations
• T-Dualities and Doubled Geometry of the Principal Chiral Model
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Effective Actions for $\sigma$-Models of Poisson-Lie Type