The tadpole problem

A bstract We examine the mechanism of moduli stabilization by fluxes in limit a large number moduli. conjecture that one cannot stabilize all complex-structure F-theory at generic point space (away from singularities) satisfy bound imposed tadpole cancellation condition. More precisely, while goes like 1 / 4 moduli, we amount charge induced stabilizing grows faster than this, and is therefore larger allowed amount. Our supported two examples: K 3 × compactifications, where using evolutionary algorithms find needs whose 44% Type IIB compactifications on $$ \mathbbm{CP} CP , needed to D7-brane also these Proving our would rule out de Sitter vacua obtained via antibrane uplift long warped throats with hierarchically small supersymmetry breaking scale, which require tadpole.