Abstract
We derive the anomalous conformal Ward identities for \( \mathcal{N} \) = 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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ArXiv ePrint: 2001.03391
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Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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Dorn, H. On anomalous conformal Ward identities for Wilson loops on polygon-like contours with circular edges. J. High Energ. Phys. 2020, 166 (2020). https://doi.org/10.1007/JHEP03(2020)166
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DOI: https://doi.org/10.1007/JHEP03(2020)166