Cristoforo Iossa (University of Geneva)

Black hole perturbations from Liouville correlators

We analyze a class of correlators in Liouville CFT, along with their conformal blocks and connection formulas. Upon considering their semi-classical limit we provide explicit expressions for the connection matrices of the Heun function and a class of its confluences. Since Heun functions solve wave equations on various black holes backgrounds, we exploit our result to give explicit expressions for different observables in black hole physics such as greybody factors, phase shifts and quasinormal modes. In the context of AdS black holes we use our connection formulas in order to give novel exact expressions for thermal correlators of the boundary theory.