Effective Actions for $\sigma$-Models of Poisson-Lie Type

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.

21 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018

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Cited by in corpus (4)

• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• Hitchhiker's Guide to Courant Algebroid Relations
• Palatini Variation in Generalized Geometry and String Effective Actions
• Graded Generalized Geometry