de Mathématiques de Luminy
Yang-Baxter sigma-models and dS / AdS T-duality
We point out the existence of nonlinear sigma-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.