论文标题
保形场理论中的模块化换向因子
Modular Commutators in Conformal Field Theory
论文作者
论文摘要
模块化换向器是最近发现的多部分纠缠措施，可量化基础多体量子状态的手性。在这封信中，我们以$ 1+1 $尺寸的形式在保形场理论中为模块化换向器提供了通用表达式，并讨论了其显着特征。我们表明，模块化换向器仅取决于手性中央电荷和保形横率。我们测试了该公式的$（2+1）$ - 尺寸系统，具有手性边缘，即量子霍尔状态，并观察到与数值模拟的良好一致性。此外，我们在ADS/CFT对应关系的某些优选状态下为模块化换向器提出了一个几何双重。对于这些状态，我们认为可以从相交的ryu-takayanagi表面之间的一组交叉角度获得模块化换向器。
The modular commutator is a recently discovered multipartite entanglement measure that quantifies the chirality of the underlying many-body quantum state. In this Letter, we derive a universal expression for the modular commutator in conformal field theories in $1+1$ dimensions and discuss its salient features. We show that the modular commutator depends only on the chiral central charge and the conformal cross ratio. We test this formula for a gapped $(2+1)$-dimensional system with a chiral edge, i.e., the quantum Hall state, and observe excellent agreement with numerical simulations. Furthermore, we propose a geometric dual for the modular commutator in certain preferred states of the AdS/CFT correspondence. For these states, we argue that the modular commutator can be obtained from a set of crossing angles between intersecting Ryu-Takayanagi surfaces.
