You've got the main idea hammered down.
Live tracks refer to a vehicle equipped with return wheels, the rollers
that support the upeer run of the track, like the M60, Abrams,
Leopards, etc.
Dead, or slack tracks, refer to AFVs that do not have this feature,
wherein the track rests on top of the road wheels or sags under it's
own tension.
Both types have their pros and cons:
Dead tracks require less maintenance and don't gather that much mud, but can be thrown more easily.
Live tracks gather mud and generally take more maintenance to the
entire suspension sytem and collect more mud, but have a much reduced
propensity for being thrown.
Personally, I don't mind a few extra hours doing veh. maintenace if it
means that while i'm jockeying out of or into a fire position I
don't throw a track, but tankers from different nations will all
probably have a different view on this.
Through the mud and the blood to the green fields beyond.
Cade