On Holography with Hyperscaling Violation

TL;DR

This paper investigates the properties of strongly coupled theories with hyperscaling violation using gravitational duals, focusing on anisotropic scaling, entanglement entropy, and string probes to understand their physical characteristics.

Contribution

It introduces a holographic analysis of hyperscaling violating theories with anisotropic scaling, including entanglement entropy calculations and string probe studies.

Findings

Logarithmic violation of the area law in entanglement entropy for specific parameters

Computed effective potentials and drag forces using string probes

Analyzed anisotropic scaling effects in holographic models

Abstract

We study certain features of strongly coupled theories with hyperscaling violation by making use of their gravitational duals. We will consider models with an anisotropic scaling in time or in one of spatial directions. In particular for the case where the anisotropic scaling is along a spatial direction we will compute the holographic entanglement entropy and show that for specific values of the parameters it exhibits a logarithmic violation of the area law. We will also probe the backgrounds by different closed and open strings which in turn can be used to read, for example, effective potential of an external object, drag force and etc.