Integrated correlators with a Wilson line in N=4 SYM

In the context of integrated correlators in N = 4 SYM, we study the 2-point functions of local operators with a superconformal line defect. Starting from the mass -deformed N = 2* theory in presence of a 1/2-BPS Wilson line, we exploit the residual superconformal symmetry after the defect insertion, and show that the massive deforma-tion corresponds to integrated insertions of the superconformal primaries belonging to the stress tensor multiplet with a specific integration measure which is explicitly derived after enforcing the superconformal Ward identities. Finally, we show how the Wilson line inte-grated correlator can be computed by the N = 2* Wilson loop vacuum expectation value on a 4-sphere in terms of a matrix model using supersymmetric localization. In particular, we reformulate previous matrix model computations by making use of recursion relations and Bessel kernels, providing a direct link with more general localization computations in N = 2 theories.