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Affine Poisson and affine quasi-Poisson T-duality

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arxiv 1809.01614 v2 pith:L5KWPS3Z submitted 2018-09-05 hep-th

C. Klimcik This is my paper · ORCID
classification hep-th
keywords affinegroupt-dualitypoissonpoisson-liequasi-poissonclasscompatible
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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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Cited by 1 Pith paper

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  1. Non-Abelian target space duals of Thurston geometries

    hep-th 2025-05 conditional novelty 5.0 of 10

    For most Thurston geometries, the paper constructs explicit non-Abelian T-dual metrics and B-fields via Poisson-Lie duality, yielding 20 string backgrounds.

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