Aspects of Hyperscaling Violating Geometries at Finite Cutoff

Abstract

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 $E_W\ge \frac{I}{2}$ for all values of the cutoff.

33 pages, 20 figures; v2: Published version- Section 2, figures 1,4 and references added

References in corpus (17)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Effective Holographic Theories for low-temperature condensed matter systems
• Causality & holographic entanglement entropy
• Non-relativistic holography
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Remarks on the entanglement entropy for disconnected regions
• Charged Black Branes with Hyperscaling Violating Factor
• Holographic Entanglement of Purification from Conformal Field Theories
• Some Aspects of Entanglement Wedge Cross-Section
• Holographic entanglement entropy: near horizon geometry and disconnected regions
• Expectation value of composite field $T\bar{T}$ in two-dimensional quantum field theory
• Comments on Holographic Entanglement Entropy in TT Deformed CFTs
• Mutual information and the structure of entanglement in quantum field theory
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Mutual information challenges entropy bounds
• Quantum entanglement measures from Hyperscaling violating geometries with finite radial cut off at general d, $\theta$ from the emergent global symmetry

Cited by in corpus (4)

• Balanced Partial Entanglement and Mixed State Correlations
• Entanglement Wedge Cross Section Growth During Thermalization
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes