A 10D supergravity reduction derives the 4D moduli space metric for Kähler moduli and, for the first time, for complex structure flat directions in warped type IIB flux compactifications.
Warped Compactifications in M and F Theory
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abstract
We study M and F theory compactifications on Calabi-Yau four-folds in the presence of non-trivial background flux. The geometry is warped and belongs to the class of p-brane metrics. We solve for the explicit warp factor in the orbifold limit of these compactifications, compare our results to some of the more familiar recently studied warped scenarios, and discuss the effects on the low-energy theory. As the warp factor is generated solely by backreaction, we may use topological arguments to determine the massless spectrum. We perform the computation for the case where the four-fold equals K3 \times K3.
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Dimensional Reduction and K\"ahler Metric for Metric Moduli in Imaginary Self-Dual Flux
A 10D supergravity reduction derives the 4D moduli space metric for Kähler moduli and, for the first time, for complex structure flat directions in warped type IIB flux compactifications.