Aspects of Hyperscaling Violating geometries at finite cutoff

Recently, it was proposed that a T (T) over bar 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 >= I/2 for all values of the cutoff.

Automated summary

The study explores aspects of Hyperscaling Violating geometries at finite cutoff and zero temperature, focusing on holographic entanglement entropy, mutual information, and entanglement wedge cross section for strip-shaped entangling regions. Results show interesting features of HMI and EWCS compared to very small cutoff case, with HMI being a decreasing function and EWCS showing concavity changes. The location of phase transition and finite values are found to depend on the cutoff in this scenario.