Lorenzo Paoloni - On the Moduli Space Curvature at Infinity

Moduli spaces are a key feature of String Compactifications and play a central role in the Swampland Programme. In this talk, I will analyse the scalar curvature of the vector multiplet moduli space of type IIA string theory compactified on a generic Calabi-Yau manifold. While the volume of this space is known to be finite, cases have been found where the scalar curvature diverges positively along trajectories of infinite distance. I will discuss the asymptotic behaviour of the scalar curvature for a broad set of large volume limits, and provide the source of the divergence both in geometric and physical terms.