On anisotropic black branes with Lifshitz scaling

TL;DR

This paper constructs anisotropic charged Lifshitz black brane backgrounds using scalar perturbations and investigates how anisotropy influences the superfluid phase and superconducting condensate in the boundary theory.

Contribution

It introduces a perturbative method to build anisotropic Lifshitz black branes and analyzes their effects on superfluid phases, extending previous isotropic models.

Findings

Anisotropy affects the superconducting condensate.

Scalar perturbations effectively construct anisotropic backgrounds.

Analysis covers both extremal and non-extremal limits.

Abstract

In this paper, based on the method of scalar perturbations, we construct the \textit{anisotropic} charged Lifshitz background perturbatively upto leading order in the anisotropy. We perform our analysis both in the extremal as well as in the non extremal limit. Finally, we probe the so called superfluid phase of the boundary theory and explore the effects of anisotropy on the superconducting condensate.