Dressing cosets revisited

Abstract

We present an alternative algebraic derivation of the dual pair of nonlinear $\sigma$-models based on the 'dressing cosets' extension of the Poisson-Lie $T$-duality \cite{KS1}. Then we generalize the result to dual pairs of Lagrangians not considered in \cite{KS1}. Our generalization turns out to incorporate the dualisable models constructed by Sfetsos in \cite{Sfet1}.

24 pages

References in corpus (3)

• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Classification of 6-dimensional real Drinfeld doubles
• Classification of 6-dimensional real Manin triples

Cited by in corpus (9)

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• Integrable $\mathcal{E}$-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
• Para-Hermitian Geometries for Poisson-Lie Symmetric $\sigma$-models
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Poisson-Lie T-plurality for dressing cosets