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• W3164134867 abstract "Abstract The history of the geometry of Double Field Theory is the history of string theorists' effort to tame higher geometric structures. In this spirit, the first part of this paper will contain a brief overview on the literature of geometry of DFT, focusing on the attempts of a global description. In [1] we proposed that the global doubled space is not a manifold, but the total space of a bundle gerbe. This would mean that DFT is a field theory on a bundle gerbe, in analogy with ordinary Kaluza‐Klein Theory being a field theory on a principal bundle. In this paper we make the original construction by [1] significantly more immediate. This is achieved by introducing an atlas for the bundle gerbe . This atlas is naturally equipped with 2 d ‐dimensional local charts, where d is the dimension of physical spacetime. We argue that the local charts of this atlas should be identified with the usual coordinate description of DFT. In the last part we will discuss aspects of the global geometry of tensor hierarchies in this bundle gerbe picture. This allows to identify their global non‐geometric properties and explain how the picture of non‐abelian String‐bundles emerges. We interpret the abelian T‐fold and the Poisson‐Lie T‐fold as global tensor hierarchies." @default.
• W3164134867 created "2021-06-07" @default.
• W3164134867 creator A5012010577 @default.
• W3164134867 date "2021-05-20" @default.
• W3164134867 modified "2023-10-17" @default.
• W3164134867 title "The Puzzle of Global Double Field Theory: Open Problems and the Case for a Higher Kaluza‐Klein Perspective" @default.
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• W3164134867 doi "https://doi.org/10.1002/prop.202000102" @default.
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