The tadpole conjecture at large complex-structure

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.

Automated summary

The study provides evidence for the correctness of the tadpole conjecture by analyzing statistical data, which indicates that not all complex-structure moduli can be stabilized by fluxes in string-theory compactifications with a large number of moduli.