Speaker: Davide Bonomi

Title: Analytic bootstrap for defect CFTs

Abstract:
A powerful way to study Conformal Field Theories analytically is the Lorentzian inversion formula, which allows to extract the CFT data of a given four-point function from its double discontinuity. One can also derive a dispersion relation that reconstructs directly the full correlator from the same double discontinuity. I will talk about the generalization of these methods to defect CFTs. In particular, I will discuss recently derived dispersion relations that allow to compute two-point functions of bulk operators in presence of a defect or four-point functions of defect operators. Finally, I will show an application of this formalism to the O(N) model in the presence of a magnetic line defect.