Yep, slab.
Used to be able to get it free or cheap for firewood.
Others use it for fences, siding, etc. Nice rustic finish and hell, the bark is made to withstand weather...
Live Edge is cool stuff where they don't square a log to a cant, but saw usually thick (2" or so) "slab" cuts of logs leaving just the bark along the thickness of the plank. The slab will still have the log's natural contours/taper/figure along it's length from one-end to the other.
Commercial mills now use slab, after debarking, for other purposes. In hardwood country around here, much slab is chipped and burned to heat kilns at the mill to dry the sawn hardwood lumber. Pellet mills also benefit from the waste products.
Wane is when a part of a board still has some bark left on it after sawing, which alters the finished dimension a little. Usually one of the edges for part of it's length. We all see this if you look over the 2x's at a lumber yard.
A cant is a squared-off log, all 4 sides. A cant is the basic starting point to make dimensional lumber for the sawyer.
Magicman is our local expert sawyer.
I hope he corrects me if I missed it!