Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-21
Nucl.Phys.B609:3-45,2001
Physics
High Energy Physics
High Energy Physics - Theory
47 pages, 4 eps figures, references added
Scientific paper
10.1016/S0550-3213(01)00285-1
We discuss the vacuum structure of type IIA/B Calabi-Yau string compactifications to four dimensions in the presence of n-form H-fluxes. These will lift the vacuum degeneracy in the Calabi-Yau moduli space, and for generic points in the moduli space, N=2 supersymmetry will be broken. However, for certain `aligned' choices of the H-flux vector, supersymmetric ground states are possible at the degeneration points of the Calabi-Yau geometry. We will investigate in detail the H-flux induced superpotential and the corresponding scalar potential at several degeneration points, such as the Calabi-Yau large volume limit, the conifold loci, the Seiberg-Witten points, the strong coupling point and the conformal points. Some emphasis is given to the question whether partial supersymmetry breaking can be realized at those points. We also relate the H-flux induced superpotential to the formalism of gauged N=2 supergravity. Finally we point out the analogies between the Calabi-Yau vacuum structure due to H-fluxes and the attractor formalism of N=2 black holes.
Curio Gottfried
Klemm Albrecht
Luest Dieter
Theisen Stefan
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