Engineering Small Flux Superpotentials and Mass Hierarchies

Understand

We study the stabilization of complex structure moduli in Type IIB flux compactifications by using recent general results about the form of the superpotential and K\"ahler potential near the boundaries of the moduli space.

• In this process we show how vacua with an exponentially small vacuum superpotential can be realized systematically and understood conceptually within asymptotic Hodge theory.
• We distinguish two types of vacua realizing such superpotentials that differ by the mass scales of the stabilized moduli.
• Masses polynomially depending on the moduli arise if the superpotential contains exponential corrections whose existence is required to ensure the non-degeneracy of the moduli space metric.