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

Michael Cooke; Amit Dekel; Nadav Drukker

doi:10.1088/1751-8121/aa7db4

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

Michael Cooke, Amit Dekel, Nadav Drukker

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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.

Original language	English
Article number	335401
Pages (from-to)	1-19
Journal	Journal Of Physics A-Mathematical And Theoretical
Volume	50
Issue number	33
Early online date	5 Jul 2017
DOIs	https://doi.org/10.1088/1751-8121/aa7db4
Publication status	Published - 21 Jul 2017

Keywords

hep-th

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10.1088/1751-8121/aa7db4

The Wilson loop CFT_COOKE_Publishedonline5July2017_AAM
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.
Accepted author manuscript, 542 KBLicence: Unspecified

Cite this

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AB - 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.

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

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