# Greybody Factors of Holographic Superconductors with $z=2$ Lifshitz Scaling

## TL;DR

This paper analyzes the stability and thermal properties of non-Abelian charged Lifshitz black branes with z=2, providing exact quasinormal modes and greybody factors to understand holographic superconductors.

## Contribution

It presents analytical solutions for quasinormal modes and greybody factors of Lifshitz black branes with hyperscaling violation, advancing holographic superconductor models.

## Key findings

- Quasinormal modes are purely imaginary, indicating mode stability.
- Derived exact analytical expressions for greybody factors and decay rates.
- Insights into high-temperature superconductivity mechanisms via holography.

## Abstract

We study the quasinormal modes and thermal radiation of massless spin-0 field perturbations in the background of four-dimensional (4D) non-Abelian charged Lifshitz black branes with $z=2$ hyperscaling violation, which correspond to systems with superconducting fluctuations. After having an analytical solution to the Klein-Gordon equation, we obtain exact quasinormal modes that are purely imaginary. Therefore, there is no oscillatory behavior in the perturbations that guarantees the mode stability of these solutions. We also study the greybody factors, absorption cross-section, and decay rate of the non-Abelian charged Lifshitz black branes. We derive their analytical expressions and then investigate the correspondence in the strongly coupled dual theory. This study might shed light on the mechanism governing the high-temperature superconductors in condensed matter physics.