KZ 方程正则化整体的泊松括号和协迫映射

arXiv - MATH - Quantum Algebra Pub Date : 2024-09-13 DOI:arxiv-2409.08894

Anton Alekseev, Florian Naef, Muze Ren

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引用次数: 0

摘要

我们推导了Knizhnik-Zamolodchikov（KZ）方程的开路正则化整体的Kirillov-Kostant-Souriau（KKS）协作用映射的明确封闭公式，以及相应的李代数$\{rmgl}(N, \mathbb{C})$的泊松括号。我们的主要技术工具是\cite{AFR2024}的广义五边形方程的某种投影。

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Poisson brackets and coaction maps of regularized holonomies of the KZ equation

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 ${\rm gl}(N, \mathbb{C})$. Our main technical tool is a certain projection of the generalized pentagon equation of \cite{AFR2024}.

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arXiv - MATH - Quantum Algebra

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