Ratul Mahanta

Dimensional Reduction of Geometric Moduli in Warped String Compactifications

I will discuss the warped Calabi-Yau compactifications of type IIB superstring theory. The Giddings-Kachru-Polchinski (GKP) solutions admit a geometric moduli space. This space includes all the Kähler deformations, along with certain complex structure deformations of the Calabi-Yau (referred to as flat directions) which typically mix with the deformation of the axiodilaton. Criteria for determining such flat complex structure directions will be discussed. Then, I will present a first-principles derivation of the 4D low-energy effective theory for these moduli (both Kähler and flat complex structure), making use of the 10D equations of motion. This derivation yields the Kähler metric on this geometric moduli space, enabling precision studies in string phenomenology even in the case of strong warping. Potential applications of our criteria for determining which (if any) complex structure deformations remain unstabilized will be discussed in the context of tadpole conjecture.