EM Duality and Quasinormal Modes from Higher Derivatives with Homogeneous Disorder

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 better than that without homogeneous disorder. The properties of quasinormal modes (QNMs) of this system are also explored. When the homogeneous disorder is introduced, some modes emerge at the imaginary frequency axis for negative gamma 1 but not for positive gamma 1. In particular, with an increase in the magnitude of alpha, new branch cuts emerge for positive gamma 1. These emerging modes violate the duality related to the change of the sign of gamma 1. With the increase of alpha, this duality is getting violated more.