Scholarlink

<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\textrm{gl}(N, \mathbb {C})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>gl</mtext> <mo stretchy="false">(</mo> <mi>N</mi> <mo>,</mo> <mi mathvariant="double-struck">C</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>. Our main technical tool is a certain projection of the generalized pentagon equation of Alekseev et al. Generalized Pentagon equation, <a href="http://arxiv.org/abs/2402.19138">arXiv:2402.19138</a> [math.QA] (2025).</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

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

  • 期刊论文

  • 发表日期：

    2026年1月22日

查看全文
  • Anton Alekseev,
  • Florian Naef,
  • Muze Ren

摘要

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 \(\textrm{gl}(N, \mathbb {C})\) gl ( N , C ) . 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).