Type IIB flux vacua and tadpole cancellation

Understand

We consider flux vacua for type IIB orientifold compactifications and study their interplay with the tadpole-cancellation condition.

• As a concrete example we focus on $\mathbb T^6/\mathbb Z_2\times \mathbb Z_2$, for which we find that solutions to the F-term equations at weak coupling, large complex structure and large volume require large flux contributions.
• Such contributions are however strongly disfavored by the tadpole-cancellation condition.
• We furthermore find that solutions which stabilize moduli in this perturbatively-controlled regime are only a very small fraction of all solutions, and that the space of solutions is not homogenous but shows characteristic void structures and vacua concentrated on submanifolds.