Holography for anisotropic branes with hyperscaling violation

TL;DR

This paper investigates the holographic duals of hyperscaling violating quantum field theories with anisotropic branes, focusing on how scalar deformations affect non-local observables like entanglement entropy and Wilson loops.

Contribution

It provides a novel analysis of scalar deformations in hyperscaling violating backgrounds and their impact on entanglement entropy and Wilson operators within the holographic framework.

Findings

Scalar deformations break rotational symmetry along brane directions.

Finite contributions to entanglement entropy near the dynamical scale.

Finite contributions to Wilson operator near the dynamical scale.

Abstract

In this paper, based on the principles of Gauge/gavity duality, we explore the field theory description of certain special class of strongly coupled hyperscaling violating QFTs in the presence of scalar deformations near the \textit{effective} dynamical scale ($ r_F $) of the theory. In the language of the AdS/CFT duality, the scalar deformations of the above type could be thought of as being sourced due to some massless scalar excitation in the bulk which explicitly break the $ SO(2) $ rotational invariance along the spatial directions of the brane. As a consequence of these deformations, it turns out that when we probe such QFTs in terms of its non-local observable like, the entanglement entropy as well as the Wilson operator they indeed receive finite contributions near the effective dynamical scale ($ r_F $) of the theory.