The configuration utility on the Anton Bauer site says this is the correct adapter for the HMC40, but the HMC80 is not in their list yet. I'd be pretty confident it would work with the HMC80 as well.
As you probably understand, that's for the Elipz 7.2V battery system. If you want to use the traditional A-B 14.4V gold mount bricks, you would choose this instead:
The 14.4v adapter, battery and charger will run me over 1k. I am trying to figure out how I would mount the Elipz battery as I will be doing shoulder shots.