标题： 有限截止下的超尺度破缺几何方面的研究 显示英文标题

标题： Aspects of Hyperscaling Violating Geometries at Finite Cutoff

摘要： 近期，有提议认为一个变形的 CFT（共形场论）$T\overline{T}$是与有限径向截断的渐近 AdS 时空中的引力理论对偶的。受此提议的启发，我们研究了具有有限截断和零温度的超可缩放破坏几何的一些方面。我们研究了条状区域的全息纠缠熵、互信息（HMI）以及纠缠楔交叉截面（EWCS）。观察到，与非常小的截断情况相比，HMI 显示出有趣的特点：它是截断的减函数。当两个纠缠区域之间的距离趋于零时，它是有限的。其相变的位置也依赖于截断，并随着截断的增加而减小。另一方面，EWCS 是截断的减函数。当 HMI 发生一级相变时，它不会显示出不连续的相变，但其凹性会发生变化。此外，当两个条状区域之间的距离趋于零时，它是有限的。并且，对于所有截断值，它满足边界条件$ E_W \geq \frac{I}{2}$。 显示英文摘要

摘要： Recently, it was proposed that a $T\overline{T}$ deformed CFT is dual to a gravity theory in an asymptotically AdS spacetime at finite radial cutoff. Motivated by this proposal, we explore some aspects of Hyperscaling Violating geometries at finite cutoff and zero temperature. We study holographic entanglement entropy, mutual information (HMI) and entanglement wedge cross section (EWCS) for entangling regions in the shape of strips. It is observed that the HMI shows interesting features in comparison to the very small cutoff case: It is a decreasing function of the cutoff. It is finite when the distance between the two entangling regions goes to zero. The location of its phase transition also depends on the cutoff, and decreases by increasing the cutoff. On the other hand, the EWCS is a decreasing function of the cutoff. It does not show a discontinuous phase transition when the HMI undergoes a first-order phase transition. However, its concavity changes. Moreover, it is finite when the distance between the two strips goes to zero. Furthermore, it satisfies the bound $ E_W \geq \frac{I}{2}$ for all values of the cutoff.