The tadpole conjecture at large complex-structure

Abstract

The tadpole conjecture by Bena, Blaback, Grana and Lust effectively states that for string-theory compactifications with a large number of complex-structure moduli, not all of these moduli can be stabilized by fluxes. In this note we study this conjecture in the large complex-structure regime using statistical data obtained by Demirtas, Long, McAllister and Stillman for the Kreuzer-Skarke list. We estimate a lower bound on the flux number in type IIB Calabi-Yau orientifold compactifications at large complex-structure and for large $h^{2,1}$, and our results support the tadpole conjecture in this regime.

arXiv comment23 pages, 2 figures; v2: references and minor clarifications added

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• The LVS Parametric Tadpole Constraint
• Moduli Stabilization in Asymptotic Flux Compactifications
• Effective Theory of Warped Compactifications and the Implications for KKLT
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• Mass spectrum of type IIB flux compactifications -- comments on AdS vacua and conformal dimensions
• Moduli stabilization in type IIB orientifolds at $h^{2,1}=50$
• Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
• Type IIB flux compactifications with $h^{1,1}=0$
• Analytics of type IIB flux vacua and their mass spectra
• D7 Moduli Stabilization: The Tadpole Menace
• Goldstino condensation at large N
• Over-extremal brane shells from string theory?
• The Tadpole Conjecture in Asymptotic Limits
• Large complex structure flux vacua of IIB and the Tadpole Conjecture