论文标题
在有限截止时违反几何形状的高度标准的方面
Aspects of Hyperscaling Violating Geometries at Finite Cutoff
论文作者
论文摘要
最近，有人提出，在有限的径向截止时，$ t \叠加{t} $变形的cft是重力理论双重的。在此提案的促使下，我们探讨了在有限截止和零温度下违反几何形状的超标度的某些方面。我们研究全息纠缠熵，相互信息（HMI）和纠缠楔横截面（EWC），以纠缠带状的区域。观察到与非常小的截止情况相比，HMI显示出有趣的特征：这是截止的函数降低。当两个纠缠区域之间的距离为零时，这是有限的。其相变的位置也取决于截止，并通过增加截止量来减少。另一方面，EWC是截止的降低函数。当HMI经历一阶相变时，它不会显示不连续的相变。但是，它的凹陷发生了变化。此外，当两条条之间的距离为零时，这是有限的。此外，对于所有截止值的所有值，它都满足了界限$ e_w \ geq \ frac {i} {2} $。
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.
