Coupling between light and material excitations underlies a wide range of
optical phenomena. Polaritons are eigenstates of a coupled system with
hybridized wave function. Owing to their hybrid composition, polaritons exhibit
at the same time properties typical for photonic and electronic excitations,
thus offering new ways for controlling electronic transport and even chemical
kinetics. While most theoretical and experimental efforts have been focused on
polaritons with electric-dipole coupling between light and matter, in chiral
quantum emitters, electronic transitions are characterized by simultaneously
nonzero electric and magnetic dipole moments. Geometrical chirality affects the
optical properties of materials in a profound way and enables phenomena that
underlie our ability to discriminate enantiomers of chiral molecules. Thus, it
is natural to wonder what kinds of novel effects chirality may enable in the
realm of strong light-matter coupling. Right now, this field located at the
intersection of nanophotonics, quantum optics, and chemistry is in its infancy.
In this Perspective, we offer our view towards chiral polaritons. We review
basic physical concepts underlying chirality of matter and electromagnetic
field, discuss the main theoretical and experimental challenges that need to be
solved, and consider novel effects that could be enabled by strong coupling
between chiral light and matter