For most Thurston geometries, the paper constructs explicit non-Abelian T-dual metrics and B-fields via Poisson-Lie duality, yielding 20 string backgrounds.
Affine Poisson and affine quasi-Poisson T-duality
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abstract
We generalize the Poisson-Lie T-duality by making use of the structure of the affine Poisson group which is the concept introduced some time ago in Poisson geometry as a generalization of the Poisson-Lie group. We also introduce a new notion of an affine quasi-Poisson group and show that it gives rise to a still more general T-duality framework. We establish for a class of examples that this new T-duality is compatible with the renormalization group flow.
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Non-Abelian target space duals of Thurston geometries
For most Thurston geometries, the paper constructs explicit non-Abelian T-dual metrics and B-fields via Poisson-Lie duality, yielding 20 string backgrounds.