# King's College London

## The Wilson loop CFT: Insertion dimensions and structure constants from wavy lines

Research output: Contribution to journalArticlepeer-review

Original language English 335401 1-19 Journal Of Physics A-Mathematical And Theoretical 50 33 5 Jul 2017 https://doi.org/10.1088/1751-8121/aa7db4 5 Jul 2017 5 Jul 2017 21 Jul 2017

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• The_Wilson_loop_CFT_COOKE_Publishedonline5July2017_AAM.pdf, 542 KB, application/pdf

Version:Accepted author manuscript

This is an author-created, un-copyedited version of an article published in Journal of Physics A: Mathematical and Theoretical, v. 50, no. 33. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8121/aa7db4.

## Abstract

We study operator insertions into the $1/2$ BPS Wilson loop in ${\cal N}=4$ SYM theory and determine their two-point coefficients, anomalous dimensions and structure constants. The calculation is done for the first few lowest dimension insertions and relies on known results for the expectation value of a smooth Wilson loop. In addition to the particular coefficients that we calculate, our study elucidates the connection between deformations of the line and operator insertions and between the vacuum expectation value of the line and the CFT data of the insertions.