Abstract
We examine the holographic entanglement entropy in hyperscaling violating backgrounds. Precisely in such theories by semi-analytic computation, we use holographic methods to derive the universal terms of entanglement entropy in various dimensions. We also find such terms when the bulk action includes higher-order curvature terms. We make further comments on the mutual information in hyperscaling violating backgrounds with higher curvature interactions. We explore the sign of tripartite information which results in a monogamy property on mutual information. It is shown that for various hyperscaling parameters, the mutual and tripartite information are always positive and negative, respectively. This indicates that mutual information is monogamous in theories with hyperscaling violation.
Highlights
The gauge/gravity correspondence [1] claims an equivalence between strongly coupled gauge theory and gravity theory, which lives in one higher-dimensional anti-de Sitter (AdS) spacetime
By associating an effective dimension to such theories, one obtains the log behavior of the entanglement entropy. This could be utilized in a holographic description of the systems with a Fermi surface in condensed matter physics [13]; namely, in any dimension, one can engineer the parameters to provide a gravitational dual for a system with a Fermi surface
In this work we further investigate some specific features of hyperscaling violating theories by making use of the gravity dual which is described by Einstein gravity (EG) or Gauss-Bonnet (GB) gravity coupled to some specific matter fields
Summary
The gauge/gravity correspondence [1] claims an equivalence between strongly coupled gauge theory and gravity theory, which lives in one higher-dimensional anti-de Sitter (AdS) spacetime. By associating an effective dimension to such theories, one obtains the log behavior of the entanglement entropy This could be utilized in a holographic description of the systems with a Fermi surface in condensed matter physics [13]; namely, in any dimension, one can engineer the parameters to provide a gravitational dual for a system with a Fermi surface. We use a holographic description of entanglement entropy for both Einstein gravity and higher-order gravity theories for three entangling regions—the strip, sphere, and cylinder—in theories with hyperscaling violation. It is worth noting, that the entanglement entropy is a scheme-dependent quantity due to the appearance of the UV cutoff parameter. We consider the holographic entanglement entropy for strip, spherical, and cylindrical entangling regions in hyperscaling violating theories.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
