EM Duality and Quasinormal Modes from Higher Derivatives with Homogeneous Disorder

Abstract EN

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 γ1 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 γ1 but not for positive γ1.

In particular, with an increase in the magnitude of α^, new branch cuts emerge for positive γ1.

These emerging modes violate the duality related to the change of the sign of γ1.

With the increase of α^, this duality is getting violated more.