Scholarlink

<p>In the context of rational conformal field theories (RCFT) we look into the problem of constructing and classifying pairs consisting of a local operator and a topological defect which commutes or anticommutes with it. We discuss the bulk and boundary versions of the problem. In the latter one considers a conformal boundary condition, a boundary operator on it and a junction with a topological defect. In the case of the charge conjugation modular invariant (anti-)commuting configurations in each problem can be obtained when a certain restriction on the fusion rules in realised. We study the corresponding fusion rule problems in detail. While in the bulk case it reduces to realising the <i>a</i> × <i>b</i> = <i>c</i> fusion rule which was studied in [1], in the boundary it leads to a new type of problem. We obtain a full solution to this problem for the SU(3) WZW theory, thus constructing a class of (anti-)commuting boundary operators and junctions in that theory, and suggest an approach to general WZW theories.</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

On local fields invariant under the action of topological defects

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月16日

查看全文
  • Anatoly Konechny,
  • Vasileios Vergioglou

摘要

In the context of rational conformal field theories (RCFT) we look into the problem of constructing and classifying pairs consisting of a local operator and a topological defect which commutes or anticommutes with it. We discuss the bulk and boundary versions of the problem. In the latter one considers a conformal boundary condition, a boundary operator on it and a junction with a topological defect. In the case of the charge conjugation modular invariant (anti-)commuting configurations in each problem can be obtained when a certain restriction on the fusion rules in realised. We study the corresponding fusion rule problems in detail. While in the bulk case it reduces to realising the a × b = c fusion rule which was studied in [1], in the boundary it leads to a new type of problem. We obtain a full solution to this problem for the SU(3) WZW theory, thus constructing a class of (anti-)commuting boundary operators and junctions in that theory, and suggest an approach to general WZW theories.