Cutting marbled pork without it falling apart
You need a slicing knife - a very thin, very long, very sharp blade, with kullens. Thin (measured top to bottom), because you don't need the heft or maneuverability of a chef's knife, and the less metal in contact with the meat as you cut it, the better. Long, because you don't want to saw at the meat - the metal that is in contact will pull a small amount as you slice, and changing direction will pull tender meat apart. The less back-and-forth, the better, and that means longer strokes, which means a longer knife. Kullens, as they "release" the blade's hold on the meat as you slice: you're reducing the surface area of the knife in contact with the meat, essentially (tho how much they actually help is somewhat in debate.)

It may be instructive to google "slicing brisket" - as BBQ brisket is a similarly tender and delicate dish, and the very active BBQ community have experience with the various slicing options to keep the slices intact. There are a number of messageboard posts and videos on the subject.