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

7 pages

References in corpus (1)

• Yang-Baxter $\sigma$-model with WZNW term as $\mathcal{E}$-model

Cited by in corpus (4)

• 4-dimensional Chern-Simons theory and integrable field theories
• Yang-Baxter deformations of the Principal Chiral Model plus Wess-Zumino term
• Integrable degenerate $\mathcal{E}$-models from 4d Chern-Simons theory
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras