Abstrakt
For a particular generalized metric, equations of motion for string sigma models targeted in mutually dual Poisson-Lie groups are equivalent - This is called Poisson-Lie T-duality. Earlier work showcased a version of Poisson-Lie T-duality for string effective actions, using the formalism of Courant algebroids starting from a principal bundle over a point.
We now explicitly describe reductions of Courant algebroids starting from a principal bundle on a smooth manifold, without assuming the equality of the total space and the structure group. We then develop a version of Poisson-Lie T-duality of string effective actions by constructing appropriate Courant algebroid connections on the reduced (but exact) Courant algebroids starting from a Courant algebroid connection on a reduced (but transitive) one.