Yang-Baxter $\sigma$-models and dS/AdS T-duality

Abstract

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.

28 pages, LaTeX

References in corpus (1)

• Poisson-Lie T-plurality

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• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
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