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arXiv · 0803.3149

Warped generalized geometry compactifications, effective theories and non-perturbative effects

P. Koerber·L. Martucci
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Abstract

Summarizing the results of arXiv:0707.1038, we discuss the four-dimensional effective approach to type II N=1 supersymmetric flux compactifications with general SU(3)x SU(3)-structure. In particular, we study the effect of a non-trivial warp factor, which we argue leads naturally to a supergravity formulation invariant under local complexified Weyl transformations. We show that the full ten-dimensional supersymmetry equations can be obtained as F-flatness and D-flatness conditions from the superpotential and Kaehler potential. We then consider non-perturbative corrections to these supersymmetry conditions, following from adding instanton or gaugino condensation effects to the superpotential. As examples, we show how smeared instantons allow to understand the ten-dimensional geometry of KKLT-like AdS vacua and we give an explanation for the superpotential for "mobile" D3-branes in terms of a non-perturbatively induced generalized complex structure.

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P. Koerber, L. Martucci. 2008-03-21. Warped generalized geometry compactifications, effective theories and non-perturbative effects. https://doi.org/10.1002/prop.200810552

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