T-duality, Generalized Geometry and Non-Geometric Backgrounds

Details T-duality, Generalized Geometry and Non-Geometric Backgrounds T-duality, Generalized Geometry and Non-Geometric Backgrounds

2008-07-28

arxiv.org/abs/0807.4527v1

JHEP 0904:075,2009

Physics

High Energy Physics

High Energy Physics - Theory

33 pages

Scientific paper

10.1088/1126-6708/2009/04/075

We discuss the action of O(d,d), and in particular T-duality, in the context of generalized geometry, focusing on the description of so-called non-geometric backgrounds. We derive local expressions for the pure spinors descibing the generalized geometry dual to an SU(3) structure background, and show that the equations for N=1 vacua are invariant under T-duality. We also propose a local generalized geometrical definition of the charges f, H, Q and R appearing in effective four-dimensional theories, using the Courant bracket. We then address certain global aspects, in particular whether the local non-geometric charges can be gauged away in, for instance, backgrounds admitting a torus action, as well as the structure of generalized parallelizable backgrounds.

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