  It has been long recognized that the spatial polarization of the electronic
clouds in molecules, and the spatial arrangements of atoms into chiral
molecular structures, play crucial roles in physics, chemistry and biology.
However, these two fundamental concepts - chirality and polarization - have
remained unrelated so far. This work connects them by introducing and exploring
the concept of polarization of chirality. We show that, like charge, chirality,
or handedness, can be polarized, and that such polarization leads to
fundamental consequences, demonstrated here using light. First, we analyze how
chirality dipoles and higher-order chirality multipoles manifest in
experimental observables. Next, we show how to create chirality-polarized
optical fields of alternating handedness in space. Despite being achiral, these
racemic space-time light structures interact differently with chiral matter of
opposite handedness, and the chirality dipole of light controls and quantifies
the strength of the enantio-sensitive response. Using nonlinear interactions,
we can make a medium of randomly oriented chiral molecules emit light to the
left, or to the right, depending on the molecular handedness and on the
chirality dipole of light. The chiral dichroism in emission direction reaches
its highest possible value of 200%. Our work opens the field of chirality
polarization shaping of light and new opportunities for efficient chiral
discrimination and control of chiral and chirality-polarized light and matter
on ultrafast time scales.
