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Non-geometric backgrounds, doubled geometry and generalised T-duality (2009)
Journal Article
Hull, C. M., & Reid-Edwards, R. A. (2009). Non-geometric backgrounds, doubled geometry and generalised T-duality. Journal of High Energy Physics, 2009(09), Article 014. https://doi.org/10.1088/1126-6708/2009/09/014

String backgrounds with a local torus fibration such as T-folds are naturally formulated in a doubled formalism in which the torus fibres are doubled to include dual coordinates conjugate to winding number. Here we formulate and explore a generalisat... Read More about Non-geometric backgrounds, doubled geometry and generalised T-duality.

Flux compactifications of string theory on twisted tori (2009)
Journal Article
Hull, C., & Reid-Edwards, R. (2009). Flux compactifications of string theory on twisted tori. Fortschritte der Physik / Progress of Physics, 57(9), 862-894. https://doi.org/10.1002/prop.200900076

Global aspects of Scherk‐Schwarz dimensional reduction are discussed and it is shown that it can usually be viewed as arising from a compactification on the compact space obtained by identifying a (possibly non‐compact) group manifold 𝒢 under a discr... Read More about Flux compactifications of string theory on twisted tori.

D-branes and doubled geometry (2009)
Journal Article
Albertsson, C., Kimura, T., & Reid-Edwards, R. A. (2009). D-branes and doubled geometry. Journal of High Energy Physics, 2009(04), Article 113. https://doi.org/10.1088/1126-6708/2009/04/113

We define the open string version of the nonlinear sigma model on doubled geometry introduced by Hull and Reid-Edwards, and derive its boundary conditions. These conditions include the restriction of D-branes to maximally isotropic submanifolds as we... Read More about D-branes and doubled geometry.