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The Universal Kaehler Modulus in Warped Compactifications

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arxiv 0810.5768 v2 pith:DRFUYBPV submitted 2008-10-31 hep-th gr-qchep-ph

Andrew R. Frey , Gonzalo Torroba , Bret Underwood , Michael R. Douglas This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords moduluscompactificationskaehlervolumewarpeduniversalwarpinganalysis
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We construct the effective theory of the universal Kaehler modulus in warped compactifications using the Hamiltonian formulation of general relativity. The spacetime dependent 10d solution is constructed at the linear level for both the volume modulus and its axionic partner, and nontrivial cancellations of warping effects are found in the dimensional reduction. Our main result is that the Kaehler potential is not corrected by warping, up to an overall shift in the background value of the volume modulus. We extend the analysis beyond the linearized approximation by computing the fully backreacted 10d metric corresponding to a finite volume modulus fluctuation. Also, we discuss the behavior of the modulus in strongly warped regions and show that there are no mixings with light Kaluza-Klein modes. These results are important for the phenomenology and cosmology of flux compactifications.

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Cited by 3 Pith papers

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  1. Warped Numerical Calabi-Yau Metrics

    hep-th 2026-07 conditional novelty 7.0 of 10

    First numerical GKP warped Type IIB flux background on a Dwork quintic, giving a 0.5% throat-volume estimate near the conifold and new metric/harmonic-form/warp-factor techniques.

  2. Dimensional Reduction and K\"ahler Metric for Metric Moduli in Imaginary Self-Dual Flux

    hep-th 2025-01 conditional novelty 7.0 of 10

    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.

  3. EFT strings and dualities in 4d $\mathcal{N}=1$

    hep-th 2025-04 conditional novelty 6.0 of 10

    The Integer Scaling relation m^2 ~ T^w with w in {1,2,3} is verified for all convex-hull-generating towers in a wide range of 4d N=1 string compactifications, including subleading towers.

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