Poisson brackets and coaction maps of regularized holonomies of the KZ equation
Abstract
We derive explicit closed formulas for the Kirillov-Kostant-Souriau (KKS) coaction maps of open path regularized holonomies of the Knizhnik-Zamolodchikov (KZ) equation, and the corresponding Poisson brackets for the Lie algebra gl(N, C). Our main technical tool is a certain projection of the generalized pentagon equation of AFR2024.
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