  We consider a many-body localized system coupled globally to a central
$d$-level system. Under an appropriate scaling of $d$ and $L$, we find evidence
that the localized phase survives. We argue for two possible thermalizing
phases, depending on whether the qudit becomes fully ergodic. This system
provides one of the first examples of many-body localization in the presence of
long-range (non-confining) interactions.
