Informal Seminar by Matteo Zatti
Title: How to (Non-)Perturb a BPS Black Hole
Abstract: We relate the structure of non-perturbative corrections to BPS black hole observables in flat-spacetime theories with certain properties of probe charged particles in the near-horizon geometry. Concretely, we consider 4d N=2 supergravity with an infinite tower of F-terms and probe branes in AdS2 x S2 backgrounds threaded by constant electric-magnetic fields. The higher dimensional operators we pick are computed by Type II topological string theory, and we approximate them via the constant map contribution. We analyze the resulting force conditions on massive particles carrying dyonic charges, their classical trajectories, and the 1-loop effective action they produce. We reproduce the Gopakumar--Vafa integral of the flat-spacetime theory, now evaluated in the black hole attractor geometry. Thus, we make explicit how the physics of the fully backreacted black hole solution is controlled by the behaviour of the light D-brane states which generate the relevant set of higher derivative corrections. We conclude commenting on the stability of the non-BPS system.