On anomalous conformal Ward identities for Wilson loops on polygon-like contours with circular edges

Harald Dorn (Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Groβen Windkanal 6, Berlin, D-12489, Germany)

We derive the anomalous conformal Ward identities for N $$ \mathcal{N} $$ = 4 SYM Wilson loops on polygon-like contours with edges formed by circular arcs. With a suitable choice of parameterisation they are very similarly to those for local correlation functions. Their solutions have a conformally covariant factor depending on the distances of the corners times a conformally invariant remainder factor depending, besides on cross ratios of the corners, on the cusp angles and angles parameterising the torsion of the contours.

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      "value": "We derive the anomalous conformal Ward identities for   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 4 SYM Wilson loops on polygon-like contours with edges formed by circular arcs. With a suitable choice of parameterisation they are very similarly to those for local correlation functions. Their solutions have a conformally covariant factor depending on the distances of the corners times a conformally invariant remainder factor depending, besides on cross ratios of the corners, on the cusp angles and angles parameterising the torsion of the contours."
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Published on:
27 March 2020
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2020 (2020)
Issue 3
Pages 1-18
DOI:
https://doi.org/10.1007/JHEP03(2020)166
arXiv:
2001.03391
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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