Yang-Baxter σ-models and dS/AdS T-duality

Abstract

We point out the existence of nonlinear σ-models on group manifolds which are left symmetric and right Poisson-Lie symmetric. We discuss the corresponding rich T-duality story with particular emphasis on two examples: the anisotropic principal chiral model and the SL(2,C)/SU(2) WZW model. The latter has the de Sitter space as its (conformal) non-Abelian dual.

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