Effective Actions for σ‐Models of Poisson–Lie Type

Abstract

Abstract(Quasi‐)Poisson–Lie T‐duality of string effective actions is described in the framework of generalized geometry of Courant algebroids. The approach is based on a generalization of Riemannian geometry in the context of Courant algebroids, including a proper version of a Levi‐Civita connection. In our approach, the dilaton field is encoded in a Levi‐Civita connection and its form is determined by the Courant algebroid geometry. Explicit examples of background solutions are provided using the approach developed in the paper.