Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT

Abstract

We carefully revisit the mass hierarchies for the KKLT scenario with an uplift term from an anti D3-brane in a strongly warped throat. First, we derive the bound resulting from what is usually termed "the throat fitting into the bulk" directly from the Klebanov-Strassler geometry. Generating the small value of the superpotential $W_0$ via the mechanism proposed by Demirtas, Kim, McAllister and Moritz (DKMM), we identify two possible DKMM-refined KKLT scenarios for stabilizing the light axio-dilaton modulus. The first scenario spoils the expected hierarchy between the bulk and the throat mass scales and implies that the energy scale of the uplift is larger than the species scale of the effective theory in the throat. Moreover it requires an unnaturally large tadpole $N\sim 10^{7-8}$ that is certainly in conflict with tadpole cancellation. For the less restricted second scenario, the hierarchy can be controlled at the expense of, under the most optimistic assumptions, an only moderately large tadpole $N\sim 10^{2-3}$.

35 pages, 5 figures, v3: revised section4, removed former section5, version accepted for publication in Fortsch. Phys

References in corpus (15)

• On the Geometry of the String Landscape and the Swampland
• The Swampland: Introduction and Review
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Warped Supersymmetry Breaking
• Swampland Variations on a Theme by KKLT
• Brane gaugino condensate in 10d
• Warping and Supersymmetry Breaking
• Understanding KKLT from a 10d perspective
• Warped Spectroscopy: Localization of Frozen Bulk Modes
• Loops, Local Corrections and Warping in the LVS and other Type IIB Models
• Effective Theory of Warped Compactifications and the Implications for KKLT
• Topological Constraints in the LARGE-Volume Scenario
• Systematics of perturbatively flat flux vacua
• Throat destabilization (for profit and for fun)
• The Tadpole Conjecture in Asymptotic Limits

Cited by in corpus (7)

• Minimal Black Holes and Species Thermodynamics
• The Dark Dimension in a Warped Throat
• AdS scale separation and the distance conjecture
• Mass spectrum of type IIB flux compactifications -- comments on AdS vacua and conformal dimensions
• Quantum gravity constraints on scale separation and de Sitter in five dimensions
• Chiral global embedding of Fibre Inflation with $\overline{D3}$ uplift
• A domain wall bound on anti-de Sitter vacua