# EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder

## TL;DR

This paper investigates electromagnetic duality and quasinormal modes in a higher-derivative holographic model with homogeneous disorder, revealing enhanced duality properties and new QNM features depending on the coupling parameter sign.

## Contribution

It demonstrates that homogeneous disorder improves the validity of EM duality and particle-vortex duality in a 6-derivative theory, and explores novel QNM behaviors and branch cuts.

## Key findings

- Duality holds better with homogeneous disorder when changing the sign of b3_1.
- Low frequency pole correspondence is maintained for large b3_1 with disorder.
- New branch cuts of QNMs appear under certain parameters.

## Abstract

We study the electromagnetic (EM) duality from $6$ derivative theory with homogeneous disorder. We find that with the change of the sign of the coupling parameter $\gamma_1$ of the $6$ derivative theory, the particle-vortex duality with homogeneous disorder holds more well than that without homogeneous disorder. The properties of quasinormal modes (QNMs) of this system are also explored. Similarly, for large $\gamma_1$, with the change of the sign of $\gamma_1$, the correspondence between the low frequency poles of the original theory and the ones of its dual theory, which is strongly violated in the absence of homogeneous disorder, holds well. Some new branch cuts of QNMs emerge for some system parameters.