Electromagnetic Couplings of Dark Domain Walls

Abstract

We extend Maxwell electrodynamics with a Chern--Simons coupling to a dark sector top form sourced by domain walls. Electromagnetic fields which cross such domain walls exhibit optical activity. We outline the parameter space where the theory satisfies the observational bounds from domain wall nucleation rates and cosmic microwave background anisotropies. In this regime, the discretely evanescent dark energy walls can produce a polarization rotation of cosmic microwave background by $Δ\vartheta \sim 10^{-3} ~{\rm radians}$.