U-dual fluxes and Generalized Geometry

Details U-dual fluxes and Generalized Geometry U-dual fluxes and Generalized Geometry

2010-07-30

arxiv.org/abs/1007.5509v1

JHEP 1011:083,2010

Physics

High Energy Physics

High Energy Physics - Theory

58 pages, 6 tables

Scientific paper

10.1007/JHEP11(2010)083

We perform a systematic analysis of generic string flux compactifications, making use of Exceptional Generalized Geometry (EGG) as an organizing principle. In particular, we establish the precise map between fluxes, gaugings of maximal 4d supergravity and EGG, identifying the complete set of gaugings that admit an uplift to 10d heterotic or type IIB supegravity backgrounds. Our results reveal a rich structure, involving new deformations of 10d supergravity backgrounds, such as the RR counterparts of the $\beta$-deformation. These new deformations are expected to provide the natural extension of the $\beta$-deformation to full-fledged F-theory backgrounds. Our analysis also provides some clues on the 10d origin of some of the particularly less understood gaugings of 4d supergravity. Finally, we derive the explicit expression for the effective superpotential in arbitrary N = 1 heterotic or type IIB orientifold compactifications, for all the allowed fluxes.

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