Remarks on conformal invariants for piecewise smooth curves and Wilson loops

2023/01/04 by Harald Dorn, Dorn, Harald
Mathematics · #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #History and Theory of Mathematics #Mathematical Physics (math-ph) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2301.01513

openalex publication_date 2023/01/04 · openalex created_date 2023/01/06 · openalex updated_date 2026/07/28

Abstract

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