Higher Geometry for Non-geometric T-Duals

We investigate topological T-duality in the framework of non-abelian gerbes and higher gauge groups. We show that this framework admits the gluing of locally defined T-duals, in situations where no globally defined (“geometric”) T-duals exist. The gluing results into new, higher-geometrical objects...

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Bibliographic Details
Published in:Communications in mathematical physics 2020-02, Vol.374 (1), p.317-366
Main Authors: Nikolaus, Thomas, Waldorf, Konrad
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Gluing
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Summary:We investigate topological T-duality in the framework of non-abelian gerbes and higher gauge groups. We show that this framework admits the gluing of locally defined T-duals, in situations where no globally defined (“geometric”) T-duals exist. The gluing results into new, higher-geometrical objects that can be used to study non-geometric T-duals, alternatively to other approaches like non-commutative geometry.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-019-03496-3