Abstract
We study moduli stabilization in Calabi-Yau orientifold compactifications of
type IIB string theory with O3- and O7-planes. We consider a Calabi-Yau three-fold with
Hodge number h
2,1 = 50 and stabilize all axio-dilaton and complex-structure moduli by
three-form fluxes. This is a challenging task, especially for large moduli-space dimensions.
To address this question we develop an algorithm to generate 105 flux vacua with small
flux number Nflux. Based on recent results by Crinò et al. we estimate the bound imposed
by the tadpole-cancellation condition as Nflux ≤ O(103
), however, the smallest flux number
we obtain in our search is of order Nflux = O(104
). This implies, in particular, that for all
solutions to the F-term equations in our data set the tadpole conjecture is satisfied.
type IIB string theory with O3- and O7-planes. We consider a Calabi-Yau three-fold with
Hodge number h
2,1 = 50 and stabilize all axio-dilaton and complex-structure moduli by
three-form fluxes. This is a challenging task, especially for large moduli-space dimensions.
To address this question we develop an algorithm to generate 105 flux vacua with small
flux number Nflux. Based on recent results by Crinò et al. we estimate the bound imposed
by the tadpole-cancellation condition as Nflux ≤ O(103
), however, the smallest flux number
we obtain in our search is of order Nflux = O(104
). This implies, in particular, that for all
solutions to the F-term equations in our data set the tadpole conjecture is satisfied.
| Original language | English |
|---|---|
| Article number | 49 |
| Pages (from-to) | 1-17 |
| Number of pages | 17 |
| Journal | JHEP |
| Volume | 2023 |
| DOIs | |
| Publication status | Published - 8 Mar 2023 |
Keywords
- Flux Compactifications
- Superstring Vacua