String theory is the most successful quantum gravity theory, but it is defined at energies much higher than those we experience. Going down from those high energies to ours, the number of solutions is gigantesque (we talk of Landscape). It is therefore often claimed that everything is possible is string theory. However this is now believed not to be the case as there are low energy theories that seem fine but cannot be obtained from string theory. Those are colorfully said to lie in the Swampland.
In order to distinguish between the Landscape and the Swampland, several criteria have been proposed. In this thesis, we look at some general properties possessed by low energy theories coming from a certain class of string theory constructions (namely F-theory constructions), such as the terms describing the dynamics of the photons or the absence of so-called anomalies, and test some Swampland criterium for those theories.