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Nuclear Physics B | Vol.939, Issue. | | Pages

Nuclear Physics B

Affine Poisson and affine quasi-Poisson T-duality

  
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.

Original Text (This is the original text for your reference.)

Affine Poisson and affine quasi-Poisson T-duality

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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,.Affine Poisson and affine quasi-Poisson T-duality. 939 (),.

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