Fortschritte der Physik vol:56 issue:7-9 pages:862-868
Workshop of the RTN project 'Constituents, Fundamental Forces and Symmetries of the Universe' edition:3rd location:Valencia date:1 - 5 October 2007
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 Kahler 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.