Dressing Cosets

TL;DR

This paper explores Poisson-Lie T-duality in complex scenarios where the duality group acts non-freely or only on phase spaces, broadening the understanding of dualizable targets beyond traditional symmetries.

Contribution

It generalizes Poisson-Lie T-duality to cases with non-free group actions and targets without local isometries or Poisson-Lie symmetries.

Findings

Identifies a large class of dualizable targets without local symmetries.

Extends the framework of T-duality to non-traditional group actions.

Provides a comprehensive account of duality in less symmetric settings.

Abstract

The account of the Poisson-Lie T-duality is presented for the case when the action of the duality group on a target is not free. At the same time a generalization of the picture is given when the duality group does not even act on $\si$-model targets but only on their phase spaces. The outcome is a huge class of dualizable targets generically having no local isometries or Poisson-Lie symmetries whatsoever.