  The globular cluster Omega Centauri is the most massive and luminous cluster
in the Galaxy. The $\gamma$-ray source FL8Y J1326.7$-$4729 is coincident with
the core of the cluster, leading to speculation that hitherto unknown radio
pulsars or annihilating dark matter may be present in the cluster core. Here we
report on the discovery of five millisecond pulsars in Omega Centauri following
observations with the Parkes radio telescope. Four of these pulsars are
isolated with spin periods of 4.1, 4.2, 4.6 and 6.8 ms. The fifth has a spin
period of 4.8 ms and is in an eclipsing binary system with an orbital period of
2.1 hours. Deep radio continuum images of the cluster centre with the
Australian Telescope Compact Array reveal a small population of compact radio
sources making it likely that other pulsars await discovery. We consider it
highly likely that the millisecond pulsars are the source of the $\gamma$-ray
emission. The long-term timing of these pulsars opens up opportunities to
explore the dynamics and interstellar medium of the cluster.
