Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T-duality

Understand

Based on the construction of Poisson-Lie T-dual $\sigma$-models from a common parent action we study a candidate for the non-abelian respectively Poisson-Lie T-duality group.

• This group generalises the well-known abelian T-duality group O(d,d) and we explore some of its subgroups, namely factorised dualities, B- and $\beta$-shifts.
• The corresponding duality transformed $\sigma$-models are constructed and interpreted as generalised (non-geometric) flux backgrounds.
• We also comment on generalisations of results and techniques known from abelian T-duality.