论文标题
从纠缠产生的动力学到重力异常和手性中心电荷
From entanglement generated dynamics to the gravitational anomaly and chiral central charge
论文作者
论文摘要
我们应用模块化流量 - 纠缠产生的动力学 - 以表征基态波形的量子顺序。特别是，我们研究了简单连接区域相对于模块化流的纠缠熵的线性响应。首先，我们将其应用于（1+1）d的保形场理论，并证明其与手性中心电荷的关系 - 或等效地扰动引力异常 - 显示出消失。接下来，我们将其应用于（2+1）d间隙的基接地状态，在该状态下它将其简化为Kim等人最近提出的公式。 al。猜想以计算边缘手性中心电荷。模块化流量为基于散装对应的猜想提供了直观的图像。我们还提供了免费的费米昂模型的数字，这些模型为我们的图片提供了支持。
We apply modular flow -- entanglement generated dynamics -- to characterize quantum orders of ground state wavefunctions. In particular, we study the linear response of the entanglement entropy of a simply connected region with respect to modular flow. First, we apply it to (1+1)D conformal field theories and demonstrate its relationship to the chiral central charge -- or equivalently the perturbative gravitational anomaly -- which is shown to vanish. Next, we apply it to (2+1)D gapped ground states where it reduces to a recently proposed formula by Kim et. al. that is conjectured to compute the edge chiral central charge. Modular flow provides an intuitive picture for this conjecture based on bulk-edge correspondence. We also provide numerics on free fermion models that lend support to our picture.
