T-duality, generalized geometry and non-geometric backgrounds

Mariana Graña; Ruben Minasian; Michela Petrini; Daniel Waldram

doi:10.1088/1126-6708/2009/04/075

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T-duality, generalized geometry and non-geometric backgrounds

Mariana Graña^a, Ruben Minasian^a, Michela Petrini^b and Daniel Waldram^c

Published 20 April 2009 • Journal of High Energy Physics, Volume 2009, JHEP04(2009)

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Article information

Author e-mails

mariana.grana@cea.fr

ruben.minasian@cea.fr

petrini@lpthe.jussieu.fr

d.waldram@imperial.ac.uk

Author affiliations

^a Institut de Physique Théorique, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France

^b LPTHE, Universités Paris VI et VII, Jussieu 75252 Paris, France

^c Department of Physics and Institute for Mathematical Sciences, Imperial College London, London, SW7 2BZ, U.K.

Dates

Received 29 January 2009
Accepted 22 March 2009
Published 20 April 2009

Citation

Mariana Graña et al JHEP04(2009)075

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DOI

https://doi.org/10.1088/1126-6708/2009/04/075

E-print

http://arxiv.org/abs/0807.4527

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Abstract

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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