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

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.

arXiv comment17 pages, 4 figures, title for announcement completed, titles for appendices added, reference added

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Cited by in corpus (3)

• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Wilson loops for triangular contours with circular edges