Effective Actions for sigma-Models of Poisson-Lie Type LMS/EPSRC Durham Symposium on Higher Structures in M-Theory

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.

Keywords

• courant algebroids
• dilaton
• effective actions
• generalized metric
• Levi-Civita connections
• (Quasi-)Poisson-Lie T-duality
• sigma models