We discuss domain walls and defects in topological phases occurring as the Drinfeld center of some fusion category. Domain walls between such phases correspond to bimodules between the fusion categories. Point defects correspond to functors between the bimodules. A domain wall structure consists of a planar graph with faces labeled by fusion categories. Edges are labeled by bimodules. When the vertices are labeled by point defects we get a compound defect. We present an algorithm, called the domain wall structure algorithm, for computing the compound defect. We apply this algorithm to show that the bimodule associator , related to the O 3 obstruction of Etingof et al (2010 Quantum Topol . 1 209), is trivial for all domain walls of ##IMG## [http://ej.iop.org/images/1751-8121/53/23/235206/aab7d60ieqn2.gif] {$\mathbf{\text{Vec}}\left(\mathbb{Z}/p\mathbb{Z}\right)$} . In the language of this paper, the ground states of...

中文翻译：

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计算与有限域壁结构相关的缺陷：## IMG ## [http://ej.iop.org/images/1751-8121/53/23/235206/toc_aab7d60ieqn1.gif] {$ \ mathbb {Z} / p \ mathbb {Z} $}案

我们讨论了某些融合类别的Drinfeld中心出现的拓扑阶段的畴壁和缺陷。这些阶段之间的畴壁对应于融合类别之间的双模块。点缺陷对应于双模块之间的函子。畴壁结构由平面图和带有融合类别标记的面组成。边缘由双模块标记。当顶点被点缺陷标记时，我们得到一个复合缺陷。我们提出一种算法，称为畴壁结构算法，用于计算复合缺陷。我们应用该算法表明，与Etingof等人（2010 Quantum Topol。1 209）的O 3阻塞有关的双模关联器对于## IMG ##的所有域壁都是微不足道的。[http：//ej.iop .org / images / 1751-8121 / 53/23/235206 / aab7d60ieqn2。gif] {$ \ mathbf {\ text {Vec}} \ left（\ mathbb {Z} / p \ mathbb {Z} \ right）$}。用本文的语言来说，...的基本状态