Semantic Scholar Open Access 2024 4 sitasi

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

Anton Alekseev Florian Naef Muze Ren

Abstrak

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)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{gl}(N, \mathbb {C})$$\end{document}. Our main technical tool is a certain projection of the generalized pentagon equation of Alekseev et al. Generalized Pentagon equation, arXiv:2402.19138 [math.QA] (2025).

Topik & Kata Kunci

Mathematics

Penulis (3)

Anton Alekseev

Florian Naef

Muze Ren

Format Sitasi

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Alekseev, A., Naef, F., Ren, M. (2024). Poisson brackets and coaction maps of regularized holonomies of the KZ equation. https://doi.org/10.1007/s00029-025-01123-9

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Total Sitasi: 4×
Sumber Database: Semantic Scholar
DOI: 10.1007/s00029-025-01123-9
Akses: Open Access ✓