Warped generalized geometry compactifications, effective theories and non-perturbative effects
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.
Cite
@article{arxiv.0803.3149,
title = {Warped generalized geometry compactifications, effective theories and non-perturbative effects},
author = {P. Koerber and L. Martucci},
journal= {arXiv preprint arXiv:0803.3149},
year = {2008}
}
Comments
9 pages, contribution to the proceedings of the 3rd workshop of the RTN project 'Constituents, Fundamental Forces and Symmetries of the Universe', Valencia