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.

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

Cited by in corpus (8)

• Integrable Deformations of Sigma Models
• A unifying 2d action for integrable $\sigma$-models from 4d Chern-Simons theory
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Dressing cosets and multi-parametric integrable deformations
• Comments on $\eta$-deformed principal chiral model from 4D Chern-Simons theory
• Integrable $\mathcal{E}$-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
• On current algebras, generalised fluxes and non-geometry
• Non-Abelian target space duals of Thurston geometries