# M ar 2 01 2 On the geometry of double field theory by Izu Vaisman

@inproceedings{2013MA2, title={M ar 2 01 2 On the geometry of double field theory by Izu Vaisman}, author={}, year={2013} }

Double field theory was developed by theoretical physicists as a way to encompass T -duality. In this paper, we express the basic notions of the theory in differential-geometric invariant terms, in the framework of paraKähler manifolds. We define metric algebroids, which are vector bundles with a bracket of cross sections that has the same metric compatibility property as a Courant bracket. We show that a double field gives rise to two canonical connections, whose scalar curvatures can be…

## 14 Citations

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The search for a geometrical understanding of dualities in string theory, in particular T-duality, has led to the development of modern T-duality covariant frameworks such as Double Field Theory,…

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A double field theory algebroid (DFT algebroid) is a special case of the metric (or Vaisman) algebroid, shown to be relevant in understanding the symmetries of double field theory. In particular, a…

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A DFT algebroid is a special case of the metric (or Vaisman) algebroid, shown to be relevant in understanding the symmetries of double field theory. In particular, a DFT algebroid is a structure…

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Kaluza‐Klein Theory states that a metric on the total space of a principal bundle P→M , if it is invariant under the principal action of P, naturally reduces to a metric together with a gauge field…

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