Topological constraints in the LARGE-volume scenario

A bstract We elaborate on recent results regarding the self-consistency of de Sitter vacua in LARGE-volume scenario type IIB string theory. In particular, we analyze to what extent control over warping, curvature and g s corrections depends topology orientifold/brane data a compactification. compute general bound magnitude these which strongly constrains D3 tadpole. The minimally required tadpole ranges from $$ \mathcal{O} O (500) (10 6 ) or more other data, particular Euler number Calabi-Yau 3-fold, triple-self-intersection numbers small divisor coefficient appearing non-perturbative superpotential. give arguments suggesting that satisfying constraints is very challenging perhaps impossible.