Affine Poisson and affine quasi-Poisson T-duality
High Energy Physics - Theory
2019-01-30 v2
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.
Keywords
Cite
@article{arxiv.1809.01614,
title = {Affine Poisson and affine quasi-Poisson T-duality},
author = {C. Klimcik},
journal= {arXiv preprint arXiv:1809.01614},
year = {2019}
}
Comments
36 pages, Section 7 is added which explains the relations of the affine (quasi-)Poisson T-duality to the theory of dressing cosets, there are some stylistic improvements also in other sections