The Tadpole Problem

Abstract

We examine the mechanism of moduli stabilization by fluxes in the limit of a large number of moduli. We conjecture that one cannot stabilize all complex-structure moduli in F-theory at a generic point in moduli space (away from singularities) by fluxes that satisfy the bound imposed by the tadpole cancelation condition. More precisely, while the tadpole bound in the limit of a large number of complex-structure moduli goes like 1/4 of the number of moduli, we conjecture that the amount of charge induced by fluxes stabilizing all moduli grows faster than this, and is therefore larger than the allowed amount. Our conjecture is supported by two examples: K3 x K3 compactifications, where by using evolutionary algorithms we find that moduli stabilization needs fluxes whose induced charge is 44% of the number of moduli, and Type IIB compactifications on CP^3, where the induced charge of the fluxes needed to stabilize the D7-brane moduli is also 44% of the number of these moduli. Proving our conjecture would rule out de Sitter vacua obtained via antibrane uplift in long warped throats with a hierarchically small supersymmetry breaking scale, which require a large tadpole.

35 pages. v2 references added. v3 conventions unified, summary table added

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Cited by in corpus (29)

• F-theory flux vacua at large complex structure
• Holography and the KKLT Scenario
• The LVS Parametric Tadpole Constraint
• Moduli Stabilization in Asymptotic Flux Compactifications
• The tadpole conjecture at large complex-structure
• 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
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• AdS scale separation and the distance conjecture
• Gravitational Memory and Compact Extra Dimensions
• Moduli stabilization in type IIB orientifolds at $h^{2,1}=50$
• Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
• Thraxions: Towards Full String Models
• Type IIB flux compactifications with $h^{1,1}=0$
• Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory
• Throat destabilization (for profit and for fun)
• On stable type IIA de-Sitter vacua with geometric flux
• Analytics of type IIB flux vacua and their mass spectra
• Smearing and Unsmearing KKLT AdS Vacua
• D7 Moduli Stabilization: The Tadpole Menace
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• Dilaton stabilization in KKLT revisited
• Goldstino condensation at large N
• Over-extremal brane shells from string theory?
• Bare-Bones de Sitter
• Large complex structure flux vacua of IIB and the Tadpole Conjecture
• The Tadpole Conjecture in Asymptotic Limits
• A Database of Calabi-Yau Orientifolds and the Size of D3-Tadpoles