2019/03/07 by Branislav Jurčo, Branislav Jurco, Jan Vysoký +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Connection (principal bundle) #Context (archaeology) #Differential geometry #Dilaton #Generalization #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #String (physics) #Type (biology) #hep-th
paper · pdf · doi:10.1002/prop.201910024
21 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018
arxiv created 2019/03/07 · openalex created_date 2019/03/22 · openalex publication_date 2019/05/06 · arxiv updated 2021/07/28 · openalex updated_date 2026/08/05
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.