I will discuss the derivation of a new constraint on a 4-point function of operators inserted on a Susy Wilson line in N=4 SYM.
The argument connects integrated correlators to anomalous dimensions of "cusps" in the WIlson line. While this in principle works in any defect theory, for integrable theories the cusp dimensions are known and this becomes a powerful additional constraint in the conformal bootstrap.
I will illustrate the main ideas of the derivation, which exhibits some nuances of conformal perturbation theory beyond the leading order, and possible further applications. Based on arXiv: 2211.03203.