Non-geometric backgrounds, doubled geometry and generalised T-duality

Hull, C. M.; Reid-Edwards, R. A.

Abstract

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 generalisation of this construction in which all coordinates are doubled, so that the doubled space is a twisted torus, i.e. a compact space constructed from identifying a group manifold under a discrete subgroup. This incorporates reductions with duality twists, T-folds and a class of flux compactifications, together with the non-geometric backgrounds expected to arise from these through T-duality. It also incorporates backgrounds that are not even locally geometric, and suggests a generalisation of T-duality to a more general context. We discuss the effective field theory arising from such an internal sector, give a world-sheet sigma model formulation of string theory on such backgrounds and illustrate our discussion with detailed examples.

Citation

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

• Journal Article Type: Article
• Acceptance Date: Aug 7, 2009
• Online Publication Date: Sep 1, 2009
• Publication Date: Oct 21, 2009
• Deposit Date: Jul 13, 2018
• Journal: Journal of High Energy Physics
• Electronic ISSN: 1029-8479
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2009
• Issue: 09
• Article Number: 014
• DOI: https://doi.org/10.1088/1126-6708/2009/09/014
• Public URL: https://hull-repository.worktribe.com/output/926474
• Publisher URL: http://iopscience.iop.org/article/10.1088/1126-6708/2009/09/014/meta