Shape dependence of entanglement entropy in conformal field theories
Shape dependence of entanglement entropy in conformal field theories
复制标题
DOI：
10.1007/jhep04(2016)088
复制
发表时间：
2015-11
影响因子：
5.4
通讯作者：
T. Faulkner;R. Leigh;Onkar Parrikar
中科院分区：
文献类型：
--
作者：
T. Faulkner;R. Leigh;Onkar Parrikar
研究了共形场理论(CFT)真空态下纠缠熵形状依赖的普适特征。我们用微扰展开的形式来考虑变形的平面或球形纠缠表面上的纠缠熵。特别是，我们将重点放在这个展开式中的二阶项，即纠缠密度。根据强次可加性性质，这个量是已知的非正的。我们从纯场理论计算中发现，任何CFT中纠缠密度的非局域部分是普遍存在的，并且与该CFT中应力张量的两点函数中出现的系数CT成正比。作为我们结果的应用，我们证明了猜想的角项系数在d=3CFT中的普适性，以及变形球体间纠缠熵的全息Mezei公式。
We study universal features in the shape dependence of entanglement entropy in the vacuum state of a conformal field theory (CFT) on. We consider the entanglement entropy across a deformed planar or spherical entangling surface in terms of a perturbative expansion in the infinitesimal shape deformation. In particular, we focus on the second order term in this expansion, known as the entanglement density. This quantity is known to be non-positive by the strong-subadditivity property. We show from a purely field theory calculation that the non-local part of the entanglement density in any CFT is universal, and proportional to the coefficient C T appearing in the two-point function of stress tensors in that CFT. As applications of our result, we prove the conjectured universality of the corner term coefficientin d= 3 CFTs, and the holographic Mezei formula for entanglement entropy across deformed spheres.