标题： 在CFT中的分类对称性分辨纠缠 显示英文标题

标题： Categorical-Symmetry Resolved Entanglement in CFT

摘要： 我们提出了一种用于分类非可逆对称性的纠缠对称性分解方法（CaT-SREE）在(1 + 1)维共形场论中。 定义与群类可逆对称性类似，采用相对于分类对称性的对称边界态概念。 我们的研究扩展到有理共形场论，其中CaT-SREE的行为与群类可逆对称性类似。 我们发现，如果对分类对称性的规范没有障碍，就可以定义CaT-SREE，这在群类对称性的情况下是成立的。 我们还提供了在截断展开的次主导阶中纠缠等分分解破坏的例子。 我们的发现揭示了共形边界条件与分类对称性之间的相互作用如何导致纠缠熵中的特定模式。 显示英文摘要

摘要： We propose a symmetry resolution of entanglement for categorical non-invertible symmetries (CaT-SREE) in (1 + 1)-dimensional CFTs. The definition parallels that of group-like invertible symmetries, employing the concept of symmetric boundary states with respect to a categorical symmetry. Our examination extends to rational CFTs, where the behavior of CaT-SREE mirrors that of group-like invertible symmetries. We find that CaT-SREE can be defined if there is no obstruction to gauging the categorical symmetry, as happens in the case of group-like symmetries. We also provide instances of the breakdown of entanglement equipartition at the next-to-leading order in the cutoff expansion. Our findings shed light on how the interplay between conformal boundary conditions and categorical symmetries lead to specific patterns in the entanglement entropy.