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Paper IPM / Physic / 16392  


Abstract:  
Recently, it was proposed that a T―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 ?firstorder 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.
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