Muthusamy Rajaguru - Moduli stabilization in type IIB models with h^{1,1}=0

The tadpole conjecture constrains the number of moduli that can be stabilized with fluxes in F-theory and type IIB flux compactifications. In this talk, I will discuss ongoing work that aims to test this assertion in non-geometric type IIB flux compactifications with no Kähler moduli. In particular, I will restrict to supersymmetric Minkowski vacua in orbifolds of the 1^9 and 2^6 Gepner models. Generically these Minkowski critical points have many massless directions. In principle, we are able to expand the flux superpotential around these Minkowski critical points upto arbitrary order. This allows us to ask if these massless directions are truly flat or if they get stabilized by some higher-than-quadratic order term in the superpotential. Furthermore, there exist powerful non-renormalization theorems for the flux superpotential that make such questions meaningful to ask in these non-geometric compactifications.