Star-disc interaction in galactic nuclei: formation of a central stellar
  disc
  We perform high resolution direct $N$-body simulations to study the effect of
an accretion disc on stellar dynamics in an active galactic nucleus (AGN). We
show that the interaction of the nuclear stellar cluster (NSC) with the gaseous
disc (AD) leads to formation of a stellar disc in the central part of the NSC.
The accretion of stars from the stellar disc onto the super-massive black hole
is balanced by the capture of stars from the NSC into the stellar disc,
yielding a stationary density profile. We derive the migration time through the
AD to be 3\% of the half-mass relaxation time of the NSC. The mass and size of
the stellar disc are 0.7\% of the mass and 5\% of the influence radius of the
super-massive black hole. An AD lifetime shorter than the migration time would
result in a less massive nuclear stellar disc. The detection of such a stellar
disc could point to past activity of the hosting galactic nucleus.
