论文标题
缺陷局部熵：重新归一化组和全息图
Defect Localized Entropy: Renormalization Group and Holography
论文作者
论文摘要
我们考虑$ d $ d $ d $维缺陷的缺陷，并通过对系统进行缺陷的系统转换，通过对系统进行Casini-Huerta-myers转换，并构建缺陷局部熵。缺陷局部熵是在缺陷上定位的自由度之间的纠缠程度的度量。我们表明，在缺陷重新归化组（RG）流的固定点，缺陷局部熵等于通用部分的减去缺陷自由能。我们从缺陷的局部熵构建缺陷$ c $ functions，以解决表面缺陷和体积缺陷，并表明在Casini和Huerta的熵方法之后，它们在两种情况下都单调降低。我们还研究了缺陷的局部熵的全息双重双重双重的，发现它是由嵌入全息块体积的弦或brane worldvolume处的最小表面给出的。
We consider $p$-dimensional defects in $D$-dimensional conformal field theories (CFTs) and construct defect localized entropy by performing Casini-Huerta-Myers transformation for the system with defect. The defect localized entropy is a measure of entanglement between the degrees of freedom localized on the defect. We show that at the fixed point of defect renormalization group (RG) flow, defect localized entropy is equal to minus defect free energy for universal part. We construct defect $C$-functions from the defect localized entropy for surface defects and volume defects, and show that they monotonically decrease in both cases following the entropic method by Casini and Huerta. We also study the holographic dual of defect localized entropy and find that it is given by the minimal surface located at string or brane worldvolume embedded in the holographic bulk.
