Black holes as probes of moduli space geometry

We argue that supersymmetric BPS states can act as efficient finite energy probes of the moduli space geometry thanks to attractor mechanism. focus on 4d $\mathcal{N}=2$ compactifications and capture aspects effective field theory near values in terms physical quantities far away space. Furthermore, we illustrate how standard distance be related asymptotically black hole mass. also compute a measure resolution with which holes given mass distinguish points The may lead deeper understanding Swampland constraints