Remarks on conformal invariants for piecewise smooth curves and Wilson loops

Abstract

This short note is some obvious mathematical addendum to our papers on Wilson loops on polygon-like contours with circular edges 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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