Description
Two key properties of quantum gravity concern its universal behaviour linked to infinite towers of states that appear asymptotically in moduli space on the one hand, and the boundedness of its light degrees of freedom in the interior of moduli space on the other hand. We will report on recent results regarding these two hallmarks of quantum gravity: We will analyze the nature of towers of string states appearing in infinite distance limits in gravity in AdS, and present recent geometric proofs of bounds on the abelian part of the gauge group, which were inspired by methods in physics, but go beyond these.
