论文标题
纠缠熵，局部IR/紫外线连接和Weyl形成的几何形状中的MP
Entanglement Entropy, Local IR/UV Connection and MPS in Weyl-deformed Geometries
论文作者
论文摘要
我们研究了Weyl异常转化下的二维CFT中纠缠熵的行为。使用ryu-takayanagi-Formula，我们表明这些变形对应于ADS $ _3 $的IR截止的局部变形，该变形为ADS/CFT中IR/UV连接的局部有效性提供了示例。然后，我们使用矩阵乘积状态在二维游离费米型CFT中映射到XY模型的二维游离费米CFT中的纠缠熵的行为，并依赖于位点依赖性耦合。我们提出了背景不同变形的数值结果，并讨论了由于非平凡背景而导致的标准DMRG程序引起的问题。
We study the behaviour of entanglement entropy in two-dimensional CFTs under Weyl transformations from the Weyl anomaly. Using the Ryu-Takayanagi-formula, we show that these deformations correspond to local deformations of the IR cutoff of AdS$_3$, which gives an example of the local validity of the IR/UV Connection in AdS/CFT. We then use Matrix Product States to demonstrate the behaviour of entanglement entropy under Weyl transformations in the two-dimensional free fermion CFT mapped to the XY-model with site-dependent coupling. We present numerical results for different deformations of the background and discuss issues arising for the standard DMRG procedure for the resulting inhomogeneous interactions due to a nontrivial background.
