Abstract
It was recently shown that in warped compactifications based on a Klebanov-Strassler throat there is a light complex structure field, governing the size of the throat and the redshift at its tip. We show that after uplift of the cosmological constant by an anti-D3 brane at the tip of the throat, the contribution to supersymmetry breaking coming from the new light field is large. We work out the mass scales, in particular the condition for this field to be heavier than the Kähler modulus. We check that for the range of parameters relevant for the destabilization we find agreement with de Sitter swampland conjecture. Adding matter fields on distant branes, we discuss the effects on supersymmetry breaking in the observable sector. A hierarchically small scale of supersymmetry breaking translates generically into large values of localized D3 charges in the manifold.
Highlights
Where gs is the string coupling and q is the number of antibranes
It was recently shown that in warped compactifications based on a KlebanovStrassler throat there is a light complex structure field, governing the size of the throat and the redshift at its tip
The purpose of the present letter is to investigate in more detail the consequences for the KKLT construction: the resulting vacuum structure and mass scales, various contributions to supersymmetry breaking and the needed localized D3 charge in the internal space which produce physically motivated hierarchies
Summary
The traditional KKLT construction of moduli stabilization [1] is based on warped compactifications of Calabi-Yau manifolds, with a constant dilaton, five and three-form fluxes [39]. The cutoff Λ0 corresponds to the transition between the highly warped region, modeled as a KS throat, and (relatively unwarped) rest of the compact Calabi-Yau manifold. For later convenience we introduce a constant c With these notations and in the highly warped region, the total potential takes the form. For large values of M -flux, the shift in the vev induced by the antibrane uplift is small and the potential should be reliable close to the new minimum. For smaller values of the flux, below to the destabilization point (1.1), the runaway behavior depends crucially on the form of the potential for small values of S, far away from the old supersymmetric minimum.
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