Abstract

We revisit moduli stabilisation for type IIB flux compactifications that include a warped throat region corresponding to a warped deformed conifold, with an anti-D3-brane sitting at its tip. The warping induces a coupling between the conifold’s deformation modulus and the bulk volume modulus in the Kähler potential. Previous works have studied the scalar potential assuming a strong warping such that this coupling term dominates, and found that the anti-D3-brane uplift may destabilise the conifold modulus and/or volume modulus, unless flux numbers within the throat are large, which makes tadpole cancellation a challenge. We explore the regime of parameter space corresponding to a weakly-but-still warped throat, such that the coupling between the conifold and volume moduli is subdominant. We thus discover a new metastable de Sitter solution within the four-dimensional effective field theory. We discuss the position of this de Sitter vacuum in the string theory landscape and swampland.

Highlights

  • This program was initiated in [8], where it was noticed that the uplifting potential energy contribution from a probe anti-D3-brane at the tip of the warped throat can destabilise the conifold modulus that corresponds to a deformation of the tip, causing it to runaway to its singular point

  • In particular we highlight the identification of the volume modulus and its mixing with the conifold deformation modulus, which occurs in the Kähler potential of the 4d effective field theory (EFT), following dimensional reduction

  • In uplifting scenarios like KKLT and LVS, an D3-brane is placed at the tip of a warped throat in order to uplift the potential from an AdS minimum for the volume modulus into de Sitter

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Summary

The coupled volume and conifold deformation moduli

We review type IIB flux compactifications with warped throats and their 4d effective field theory description, paying special attention to the volume modulus and the complex structure modulus that corresponds to the deformation of a Klebanov-Strassler throat. In particular we highlight the identification of the volume modulus and its mixing with the conifold deformation modulus, which occurs in the Kähler potential of the 4d EFT, following dimensional reduction. These results will be used to study the stabilisation of the moduli

The moduli and mass scales
Kähler potential and superpotential
The D3-brane uplift
Deformation modulus stabilisation
The scalar potential
Volume and deformation moduli stabilisation
Example
Conclusions
A Complex structure moduli metric

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