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# Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM

Nov 2022

We present a systematic method for the derivation of a relation whichconnects the correlation function of operators on the straight Maldacena-Wilsonline with the integrability data for the cusp anomalous dimension. As we show,the derivation requires very careful treatment of the UV divergences. Ourmethod opens a way to derive infinitely many constraints on integrals ofmulti-point correlation functions, relating them with the integrability datafor the generalised cusp anomalous dimension governed by the Quantum SpectralCurve. Such constraints have been shown recently to be very powerful incombination with the numerical conformal bootstrap, leading to very narrownon-perturbative bounds on conformal data beyond the spectrum.

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