Scholarlink

Abstract <p>We study the connection between <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\text{SU}}(n)\)</EquationSource> <!--PhysPNLt2570162Kuzovchikov-m1--> </InlineEquation> spin chains and one-dimensional sigma models on flag manifolds. Using this connection, we calculate the spectrum of the Laplace–Beltrami operator and geodesics for a particular class of metrics on <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathbb{C}{{\mathbb{P}}^{1}}\)</EquationSource> <!--PhysPNLt2570162Kuzovchikov-m2--> </InlineEquation> and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({{\mathcal{F}}_{3}}\)</EquationSource> <!--PhysPNLt2570162Kuzovchikov-m3--> </InlineEquation>, which is a manifold of complete flags in <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({{\mathbb{C}}^{3}}\)</EquationSource> <!--PhysPNLt2570162Kuzovchikov-m4--> </InlineEquation>.</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

Mechanics on Flag Manifolds

  • 期刊论文

  • 发表日期：

    2025年12月1日

查看全文
  • A. I. Kuzovchikov

摘要

Abstract

We study the connection between \({\text{SU}}(n)\) spin chains and one-dimensional sigma models on flag manifolds. Using this connection, we calculate the spectrum of the Laplace–Beltrami operator and geodesics for a particular class of metrics on \(\mathbb{C}{{\mathbb{P}}^{1}}\) and \({{\mathcal{F}}_{3}}\) , which is a manifold of complete flags in \({{\mathbb{C}}^{3}}\) .