Federico Carta - Small flux superpotential and divisor topologies

 

In this talk we discuss aspects of complex structure moduli stabilization in type IIB Calabi-Yau orientifolds. We will start reviewing the importance of obtaining an exponentially small flux superpotential W_0 in the context of KKLT, and a nice algorithm by the Cornell group which allows to obtain such result. We then proceed to study Calabi-Yaus in the Kreuzer-Skarke database, as well as the mirrors of the pCICYs (up to h11=2). Among them, we systematically identify which ones can be used to engineer models with small flux superpotentials, and list the resulting vacua. We briefly comment about the existence of vacua which remain flat even after the leading Gopakumar-Vafa corrections are included. Finally, we discuss the topology of divisors of pCICYs, and remark on their relevance for global model building.