Scholarlink

Abstract <p> We provide a coarse classification of all <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(8\)</EquationSource> </InlineEquation>-dimensional Manin triples that describe Poisson–Lie T-dualities between <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(4\)</EquationSource> </InlineEquation>-dimensional group manifold solutions to supergravity equations. We find several such dualities and one Poisson–Lie triality. For each class we refine the classification by marking whether the corresponding Drinfeld double can be obtained by a Yang–Baxter deformation of the initial algebra paired with the four-dimensional Abelian algebra. </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

Manin triples and \(O(4,4)\) dualities

  • 期刊论文

  • 发表日期：

    2026年5月26日

查看全文
  • A. S. Kurenkova,
  • E. T. Musaev

摘要

Abstract

We provide a coarse classification of all \(8\) -dimensional Manin triples that describe Poisson–Lie T-dualities between \(4\) -dimensional group manifold solutions to supergravity equations. We find several such dualities and one Poisson–Lie triality. For each class we refine the classification by marking whether the corresponding Drinfeld double can be obtained by a Yang–Baxter deformation of the initial algebra paired with the four-dimensional Abelian algebra.