Poisson brackets and coaction maps of regularized holonomies of the KZ equation
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914948760731648 |
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| author | Alekseev, Anton Naef, Florian Ren, Muze |
| author_facet | Alekseev, Anton Naef, Florian Ren, Muze |
| contents | 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08894 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Poisson brackets and coaction maps of regularized holonomies of the KZ equation Alekseev, Anton Naef, Florian Ren, Muze Quantum Algebra 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}. |
| title | Poisson brackets and coaction maps of regularized holonomies of the KZ equation |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2409.08894 |