  Context. The second subclass of chemically peculiar stars, the CP2 stars, are
early-type stars exhibiting anomalous abundances with variable line strengths
possibly also accompanied by photometric variability that typically belong to
the Galactic disk. However, a small fraction of these objects were recently
found to be located far from the Galactic plane and are thought to belong to
the Galactic halo, which is unexpected for this class of objects. Aims. Our
study investigates the halo membership of the proposed halo CP2 star candidates
based on their velocities and Galactic orbits, to determine their points of
origin. In addition, we searched for further halo CP2 star candidates using an
as-yet-unpublished sample of CP stars. Methods. Our analysis relied on the
astrometry from the early third \textit{Gaia} data release and radial
velocities based on the spectroscopy from LAMOST and SDSS, which was also
employed in spectral classification. The light variability of the confirmed CP2
stars in our sample was analyzed using data from the ZTF and ATLAS surveys.
Results. After filtering our initial sample using kinematic and spectroscopic
criteria, we identified six CP2 stars with kinematical properties consistent
with a halo membership. The orbits of these stars are in agreement with an
origin in the Galactic disk where they were probably ejected through dynamical
interactions or in the binary supernova scenario, making them the first runaway
CP2 stars known.
