Description
Abstract: In this talk I will report new common features shared by all 4-dimensional theories obtained from supersymmetric compactifications of F-theory with fluxes. I will first discuss the modular behavior of the Gromov-Witten invariants on an elliptic Calabi-Yau 4-fold and clarify in particular their relation to the invariants on certain 3-fold hypersurfaces, to which the elliptic fibration is induced. Based on this modular behavior, I will argue that the Weak Gravity Conjectures must hold for 4-dimensional minimally-supersymmetric effective theories of F-/heterotic theory, in every weak gauge-coupling regime thereof.
