论文标题
在2D CFT中的试验缺陷
On Triality Defects in 2d CFT
论文作者
论文摘要
我们考虑在$ c = 1 $ kt理论中发现的试验融合类别\ cite {thorngren：2021yso}。我们使用小组理论融合类别的工具分析了此融合类别，并描述了如何计算简单的线条，融合规则和$ f $ symbols。然后，我们研究了该融合类别的物理意义，包括得出自旋选择规则，计算融合类别类别对称性的无元状态的渐近密度，并分析其异常和对重量级化群体流动的约束。对于融合类别，还有另一组$ f $ -Symbols，其中与文献中已知的相同的融合规则\ cite {teo2015 Theory}中所知，我们与之比较，并发现两者不同，因为它们导致了不同的旋转选择规则。这给出了与分类相同的融合类别的完整列表\ cite {Jordan2009Classification}。
We consider the triality fusion category discovered in the $c = 1$ KT theory \cite{Thorngren:2021yso}. We analyze this fusion category using the tools from the group theoretical fusion category and describe how to compute the simple lines, fusion rules and $F$-symbols. We then study the physical implication of this fusion category including deriving the spin selection rule, computing the asymptotic density of states of irreps of the fusion category symmetries, and analyzing its anomaly and constraints on the renormalization group flow. There is another set of $F$-symbols for the fusion categories with the same fusion rule known in the literature \cite{teo2015theory} which we compare with, and find the two are different as they lead to different spin selection rules. This gives a complete list of the fusion categories with the same fusion rule by the classification result in \cite{jordan2009classification}.
