Moduli Stabilization in Asymptotic Flux Compactifications

Understand

We present a novel strategy to systematically study complex-structure moduli stabilization in Type IIB and F-theory flux compactifications.

• In particular, we determine vacua in any asymptotic regime of the complex-structure moduli space by exploiting powerful tools of asymptotic Hodge theory.
• In a leading approximation the moduli dependence of the vacuum conditions are shown to be polynomial with a dependence given by sl(2)-weights of the fluxes.
• This simple algebraic dependence can be extracted in any asymptotic regime, even though in nearly all asymptotic regimes essential exponential corrections have to be present for consistency.