First results from a large-scale proper motion study of the Galactic
  Centre
  Proper motion studies of stars in the centre of the Milky Way have been
typically limited to the Arches and Quintuplet clusters and to the central
parsec. Here, we present the first results of a large-scale proper motion study
of stars within several tens of parsecs of Sagittarius A* based on our $0.2''$
angular resolution GALACTICNUCLEUS survey (epoch 2015) combined with NICMOS/HST
data from the Paschen-$\alpha$ survey (epoch 2008). This study will be the
first extensive proper motion study of the central $\sim 36' \times 16'$ of the
Galaxy, which is not covered adequately by any of the existing astronomical
surveys such as Gaia because of its extreme interstellar extinction ($A_{V}
\gtrsim 30$ mag). Proper motions can help us to disentangle the different
stellar populations along the line-of-sight and interpret their properties in
combination with multi-wavelength photometry from GALACTICNUCLEUS and other
sources. It also allows us to infer the dynamics and interrelationship between
the different stellar components of the Galactic Centre (GC). In particular, we
use proper motions to detect co-moving groups of stars which can trace low mass
or partially dissolved young clusters in the GC that can hardly be discovered
by any other means. Our pilot study in this work is on a field in the nuclear
bulge associated by HII regions that show the presence of young stars. We
detect the first group of co-moving stars coincident with an HII region. Using
colour-magnitude diagrams, we infer that the co-moving stars are consistent
with being the post-main sequence stars with ages of few Myrs. Simulations show
that this group of stars is a real group that can indicate the existence of a
dissolving or low to intermediate mass young cluster. A census of these
undiscovered clusters will ultimately help us to constrain star formation at
the GC in the past few ten Myrs.
