Linear response of electrically K-mouflaged objects

ABSTRACT: In non-linear electromagnetism charges come equipped with a natural screening mechanism a la K-mouflage. In this talk I will briefly review this mechanism and discuss some phenomenological consequences of a model of dark matter interacting via dark photons.

I will then discuss the linear response of screened charges in the context of Born-Infeld and ModMax theories. I will show how it is possible to construct ladder operators for the perturbations and how polarisability and susceptibility of certain series of multiples vanish in the Born-Infeld case.

Finally, I will discuss how perturbation equations correspond to a supersymmetric quantum mechanical system.