Universal properties of type IIB and F-theory flux compactifications at large complex structure

We consider flux compactifications of type iib string theory and f-theory in which the respective superpotentials at large complex structure are dominated by cubic or quartic terms in the complex structure moduli. in this limit, the low-energy effective theory exhibits universal properties that are insensitive to the details of the compactification manifold or the flux configuration. focussing on the complex structure and axio-dilaton sector, we show that there are no vacua in this region and the spectrum of the hessian matrix is highly peaked and consists only of three distinct eigenvalues (0, 2m 3/2 2 and 8m 3/2 2 ), independently of the number of moduli. we briefly comment on how the inclusion of kähler moduli affect these findings. our results generalise those of brodie & marsh [1], in which these universal properties were found in a subspace of the large complex structure limit of type iib compactifications.