The tadpole conjecture at large complex-structure

TL;DR

This paper investigates the tadpole conjecture in string theory, analyzing large complex-structure regimes using statistical data to estimate flux bounds, and finds supporting evidence for the conjecture.

Contribution

It provides the first statistical analysis of the tadpole conjecture at large complex-structure using Kreuzer-Skarke data, estimating flux bounds in this regime.

Findings

Supports the tadpole conjecture at large complex-structure

Estimates a lower bound on flux numbers for large h^{2,1}

Uses statistical data from Kreuzer-Skarke list

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.