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

Abstract

We present a systematic method for the derivation of a relation which connects the correlation function of operators on the straight Maldacena-Wilson line with the integrability data for the cusp anomalous dimension. As we show, the derivation requires very careful treatment of the UV divergences. Our method opens a way to derive infinitely many constraints on integrals of multi-point correlation functions, relating them with the integrability data for the generalised cusp anomalous dimension governed by the Quantum Spectral Curve. Such constraints have been shown recently to be very powerful in combination with the numerical conformal bootstrap, leading to very narrow non-perturbative bounds on conformal data beyond the spectrum.

arXiv comment45 pages, 6 figures, ancillary Mathematica notebook; 1 figure added and minor changes in Appendix C

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Cited by in corpus (5)

• Conformal line defects at finite temperature
• Bootstrapping Smooth Conformal Defects in Chern-Simons-Matter Theories
• Perturbative bootstrap of the Wilson-line defect CFT: Bulk-defect-defect correlators
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Holographic Wilson Loop One-point Functions in ABJM Theory