Superradiance Exclusions in the Landscape of Type IIB String Theory
Abstract
We obtain constraints from black hole superradiance in an ensemble of compactifications of type IIB string theory. The constraints require knowing only the axion masses and self-interactions, and are insensitive to the cosmological model. We study more than 2 · 105 Calabi-Yau manifolds with Hodge numbers 1≤ h1,1≤ 491 and compute the axion spectrum at two reference points in moduli space for each geometry. Our computation of the classical theory is explicit, while for the instanton-generated axion potential we use a conservative model. The measured properties of astrophysical black holes exclude parts of our dataset. At the point in moduli space corresponding to the tip of the stretched K\"ahler cone, we exclude ≈ 50\% of manifolds in our sample at 95% C.L., while further inside the K\"ahler cone, at an extremal point for realising the Standard Model, we exclude a maximum of ≈ 7\% of manifolds at h1,1=11, falling to nearly zero by h1,1=100.