Heterotic strings on generalized Calabi–Yau manifolds and Kaehler moduli stabilization

Lecture on Kaehler manifolds

Moduli Stabilization in Heterotic M-theory

We examine the stabilization of the two typical moduli, the length ρ of the eleventh segment and the volume V of the internal six manifold, in compactified heterotic M -theory. It is shown that, under certain conditions, the phenomenologically favored vacuum expectation values of ρ and V can be obtained by the combined effects of multi-gaugino condensations on the hidden wall and the membrane i...

Moduli Stabilization in the Heterotic/IIB Discretuum

We consider supersymmetric compactifications of type IIB and weakly coupled heterotic string-theory in the presence of G resp. H-flux and various nonperturbative effects. We point out that non-perturbative effects change the Hodge structure of the allowed fluxes in type IIB significantly. In the heterotic case it is known that, in contrast to the potential read off from dimensional reduction, t...

Compactifications of Heterotic Strings on Non-Kähler Complex Manifolds: II

We continue our study of heterotic compactifications on non-Kähler complex manifolds with torsion. We give further evidence of the consistency of the six-dimensional manifold presented earlier and discuss the anomaly cancellation and possible supergravity description for a generic non-Kähler complex manifold using the newly proposed superpotential. The manifolds studied in our earlier papers ha...

On Open Membranes, Cosmic Strings and Moduli Stabilization

We discuss how cosmic strings can be created in heterotic M-theory compactifications with stable moduli. We conclude that the only appropriate candidates seem to be fundamental open membranes with a small length. In four dimensions they will appear as strings with a small tension. We make an observation that, in the presence of the vector bundle moduli, it might be possible to stabilize a five-...