Quantum mechanics

String (physics)

Theoretical physics

Pure mathematics

Mathematical physics

Particle physics

Tadpole (physics)

Orientifold

Moduli

Physics

Mathematics

Conjecture

Calabi–Yau manifold

Moduli space

String theory

Journal of High Energy Physics

The tadpole conjecture by Bena, Blåbäck, Graña and Lüst 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 h2,1, and our results support the tadpole conjecture in this regime.

The tadpole conjecture at large complex-structure