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We compute a set of correlation functions of operator insertions on the 1/8BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetriclocalization, OPE and the Gram-Schmidt orthogonalization. These correlatorsexhibit a simple determinant structure, are position-independent and form atopological subsector, but depend nontrivially on the 't Hooft coupling and therank of the gauge group. When applied to the 1/2 BPS circular (or straight)Wilson loop, our results provide an infinite family of exact defect CFT data,including the structure constants of protected defect primaries of arbitrarylength inserted on the loop. At strong coupling, we show precise agreement witha direct calculation using perturbation theory around the AdS$_2$ stringworldsheet. We also explain the connection of our results to the "generalizedBremsstrahlung functions" previously computed from integrability techniques,reproducing the known results in the planar limit as well as obtaining some oftheir finite N generalizations. Furthermore, we show that the correlators atlarge N can be recast as simple integrals of products of polynomials (known asQ-functions) that appear in the Quantum Spectral Curve approach. This suggestsan interesting interplay between localization, defect CFT and integrability.

Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability