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Remarks on conformal invariants for piecewise smooth curves and Wilson loops

Published 4 Jan 2023 in hep-th, math-ph, and math.MP | (2301.01513v2)

Abstract: This short note is some obvious mathematical addendum to our papers on Wilson loops on polygon-like contours with circular edges \cite{Dorn:2020meb,Dorn:2020vzj}. Using the technique of osculating spheres and circles we identify the conformal invariants characterising the kinks (cusps) of generic piecewise smooth curves in 3-dimensional space.

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